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137004918141 = 37132431277069
BaseRepresentation
bin111111110011000100…
…0010010010101111101
3111002122002220221211110
41333212020102111331
54221041224340031
6142534510512233
712620052406140
oct1774610222575
9432562827743
10137004918141
1153115782883
1222676805679
13cbc5210200
1468b9946057
15386cceec46
hex1fe621257d

137004918141 has 96 divisors (see below), whose sum is σ = 233175613440. Its totient is φ = 70020018432.

The previous prime is 137004918131. The next prime is 137004918143. The reversal of 137004918141 is 141819400731.

It is a happy number.

It is not a de Polignac number, because 137004918141 - 210 = 137004917117 is a prime.

It is a super-2 number, since 2×1370049181412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 137004918141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137004918143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19377555 + ... + 19384623.

It is an arithmetic number, because the mean of its divisors is an integer number (2428912640).

Almost surely, 2137004918141 is an apocalyptic number.

It is an amenable number.

137004918141 is a deficient number, since it is larger than the sum of its proper divisors (96170695299).

137004918141 is a wasteful number, since it uses less digits than its factorization.

137004918141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 137004918141 in words is "one hundred thirty-seven billion, four million, nine hundred eighteen thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 43 91 127 129 169 273 301 381 507 559 889 903 1183 1651 1677 2667 3549 3913 4953 5461 7069 7267 11557 11739 16383 21207 21463 21801 34671 38227 49483 50869 64389 70993 91897 114681 148449 150241 152607 212979 275691 303967 450723 496951 643279 897763 911901 922909 1194661 1490853 1929837 2127769 2693289 2768727 3583983 3951571 6284341 6383307 6460363 8362627 11670919 11854713 18853023 19381089 25087881 27660997 35012757 38603809 51370423 81696433 82982991 115811427 151721947 154111269 245089299 270226663 359592961 455165841 501849517 810679989 1062053629 1078778883 1505548551 3186160887 3512946619 6524043721 10538839857 19572131163 45668306047 137004918141