135
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 240
- Proper Divisor Sum (Aliquot Sum)
- 105
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 72
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertfünfunddreißig· ordinal: einshundertfünfunddreißigste
- English
- one hundred thirty-five· ordinal: one hundred thirty-fifth
- Spanish
- ciento treinta y cinco· ordinal: 135º
- French
- cent trente-cinq· ordinal: cent trente-cinqième
- Italian
- centotrentacinque· ordinal: 135º
- Latin
- centum triginta quinque· ordinal: 135.
- Portuguese
- cento e trinta e cinco· ordinal: 135º
Appears in sequences
- Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.at n=64A000028
- a(n) is the number of partitions of n (the partition numbers).at n=14A000041
- Local stops on New York City A line subway.at n=15A000054
- a(n) = n*(n+3)/2.at n=15A000096
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=48A000115
- Rencontres numbers: number of permutations of [n] with exactly two fixed points.at n=6A000387
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=63A000592
- Number of 3-valent trees (= boron trees or binary trees) with n nodes.at n=12A000672
- Number of partitions of n in which no parts are multiples of 3.at n=18A000726
- Numbers ending with a vowel in American English.at n=61A000861
- Numbers beginning with letter 'o' in English.at n=36A000865
- Lucky numbers.at n=29A000959
- n! never ends in this many 0's.at n=25A000966
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=13A000969
- Numbers n such that n / product of digits of n is a square.at n=9A001104
- Number of partitions of n into squares.at n=55A001156
- Number of labeled n-node trees with unlabeled end-points.at n=5A001258
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=33A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=36A001284
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=32A001364