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137496051 = 327112171061
BaseRepresentation
bin10000011001000…
…00010111110011
3100120201112010100
420030200113303
5240144333201
621351003443
73256461060
oct1014402763
9316645110
10137496051
1170681900
123a069583
1322641714
1414391c67
15c10e886
hex83205f3

137496051 has 72 divisors (see below), whose sum is σ = 264412512. Its totient is φ = 67161600.

The previous prime is 137496041. The next prime is 137496053. The reversal of 137496051 is 150694731.

137496051 is a `hidden beast` number, since 1 + 3 + 7 + 49 + 605 + 1 = 666.

It is not a de Polignac number, because 137496051 - 26 = 137495987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137495997 and 137496015.

It is not an unprimeable number, because it can be changed into a prime (137496053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129061 + ... + 130121.

It is an arithmetic number, because the mean of its divisors is an integer number (3672396).

Almost surely, 2137496051 is an apocalyptic number.

137496051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137496051 is a deficient number, since it is larger than the sum of its proper divisors (126916461).

137496051 is a wasteful number, since it uses less digits than its factorization.

137496051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137496051 is about 11725.8710124238. The cubic root of 137496051 is about 516.1351165001.

The spelling of 137496051 in words is "one hundred thirty-seven million, four hundred ninety-six thousand, fifty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 121 153 187 231 357 363 561 693 847 1061 1071 1089 1309 1683 2057 2541 3183 3927 6171 7427 7623 9549 11671 11781 14399 18037 18513 22281 35013 43197 54111 66843 81697 105039 126259 128381 129591 162333 198407 245091 378777 385143 595221 735273 898667 1136331 1155429 1388849 1785663 2182477 2696001 4166547 6547431 8088003 12499641 15277339 19642293 45832017 137496051