133
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 160
- Proper Divisor Sum (Aliquot Sum)
- 27
- 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
- 108
- Möbius Function
- 1
- Radical
- 133
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertdreiunddreißig· ordinal: einshundertdreiunddreißigste
- English
- one hundred thirty-three· ordinal: one hundred thirty-third
- Spanish
- ciento treinta y tres· ordinal: 133º
- French
- cent trente-trois· ordinal: cent trente-troisième
- Italian
- centotrentatre· ordinal: 133º
- Latin
- centum triginta tres· ordinal: 133.
- Portuguese
- cento e trinta e três· ordinal: 133º
Appears in sequences
- Numbers k such that (2k)^4 + 1 is prime.at n=37A000059
- a(n) = floor(n^2/3).at n=20A000212
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=52A000277
- 4th power of rooted tree enumerator: linear forests of 4 rooted trees.at n=4A000300
- Numbers that are the sum of 3 but no fewer nonzero squares.at n=56A000419
- Powers of rooted tree enumerator.at n=3A000439
- 1 together with products of 2 or more distinct primes.at n=49A000469
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=7A000567
- A Beatty sequence: [ n(e+1) ].at n=35A000572
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=62A000592
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=30A000606
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=31A000606
- Numbers k such that (1,k) is "good".at n=7A000696
- Expansion of Product_{k>=0} (1 + x^(2k+1)); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes.at n=54A000700
- Erroneous version of A007535.at n=45A000783
- Total number of 1's in binary expansions of 0, ..., n.at n=49A000788
- Numbers ending with a vowel in American English.at n=60A000861
- Numbers beginning with letter 'o' in English.at n=34A000865
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=41A000926
- Lucky numbers.at n=28A000959