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137614772530123 = 71759612334672953
BaseRepresentation
bin11111010010100011101111…
…101000011110101111001011
3200001020211210002221121022121
4133102203233220132233023
5121014140023231430443
61204403204224232111
740662224231231650
oct3722435750365713
9601224702847277
10137614772530123
113a937108535649
12135267b8a6b637
135ba302c2025a5
1425da83a5a9c27
1510d9a219964ed
hex7d28efa1ebcb

137614772530123 has 128 divisors (see below), whose sum is σ = 173291648624640. Its totient is φ = 106620504145920.

The previous prime is 137614772530063. The next prime is 137614772530139. The reversal of 137614772530123 is 321035277416731.

It is a happy number.

It is not a de Polignac number, because 137614772530123 - 241 = 135415749274571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137614772530223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46601682415 + ... + 46601685367.

It is an arithmetic number, because the mean of its divisors is an integer number (1353841004880).

Almost surely, 2137614772530123 is an apocalyptic number.

137614772530123 is a deficient number, since it is larger than the sum of its proper divisors (35676876094517).

137614772530123 is a wasteful number, since it uses less digits than its factorization.

137614772530123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797.

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 137614772530123 in words is "one hundred thirty-seven trillion, six hundred fourteen billion, seven hundred seventy-two million, five hundred thirty thousand, one hundred twenty-three".

Divisors: 1 7 17 59 61 119 233 413 427 467 1003 1037 1631 2953 3269 3599 3961 7021 7259 7939 13747 14213 20671 25193 27553 27727 28487 50201 55573 61183 96229 99491 108811 174227 180133 192871 199409 233699 241621 351407 428281 468401 484279 688049 761677 838567 1219589 1260931 1379051 1635893 1680733 1691347 1849787 2961859 3062261 3278807 3389953 4816343 5869969 6419849 6637471 9653357 10627847 11696833 11765131 12948509 14255639 20733013 21435827 23443867 28572461 40594891 41970989 44938943 46462297 74394929 81364009 81877831 84122111 99789473 109137433 112837007 164107069 180673399 200007227 284164237 293796923 321318883 391610789 569548063 588854777 690113147 713506813 763962031 789859049 1264713793 1383188153 1430075887 2249232181 2476288351 2741275523 4830792029 4963204549 4994547691 5462421011 6657383413 9682317071 10010531209 17334018457 18957814097 19600451863 34742431843 38236947077 42096901967 46601683891 84374477333 132704698679 137203163041 294678313769 322282839649 333207681671 590621341331 1156426659917 2255979877543 2332453771697 8094986619419 19659253218589 137614772530123