Star numbers (A003154) whose digital sum and product of nonzero digits are both triangular numbers.

Terms

a(0) =1a(1) =37a(2) =73a(3) =433a(4) =15301a(5) =39853a(6) =66781a(7) =78661a(8) =110161a(9) =146953a(10) =156493a(11) =202033a(12) =220033a(13) =305101a(14) =355753a(15) =416593a(16) =509833a(17) =593461a(18) =805933a(19) =1011061a(20) =1503001a(21) =1563661a(22) =2952613a(23) =4000033a(24) =4019653a(25) =4609513a(26) =5262193a(27) =6211837a(28) =6359221a(29) =6608701