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137499076 = 22112132412
BaseRepresentation
bin10000011001000…
…01000111000100
3100120201200021101
420030201013010
5240144432301
621351025444
73256502641
oct1014410704
9316650241
10137499076
1170684100
123a06b284
1322642c00
1414392dc8
15c110701
hex83211c4

137499076 has 81 divisors (see below), whose sum is σ = 293552679. Its totient is φ = 56284800.

The previous prime is 137499073. The next prime is 137499101. The reversal of 137499076 is 670994731.

The square root of 137499076 is 11726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91584900 + 45914176 = 9570^2 + 6776^2 .

It is a super-3 number, since 3×1374990763 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137499071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3353616 + ... + 3353656.

Almost surely, 2137499076 is an apocalyptic number.

137499076 is the 11726-th square number.

It is an amenable number.

137499076 is an abundant number, since it is smaller than the sum of its proper divisors (156053603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137499076 is a wasteful number, since it uses less digits than its factorization.

137499076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The cubic root of 137499076 is about 516.1389015719.

The spelling of 137499076 in words is "one hundred thirty-seven million, four hundred ninety-nine thousand, seventy-six".

Divisors: 1 2 4 11 13 22 26 41 44 52 82 121 143 164 169 242 286 338 451 484 533 572 676 902 1066 1573 1681 1804 1859 2132 3146 3362 3718 4961 5863 6292 6724 6929 7436 9922 11726 13858 18491 19844 20449 21853 23452 27716 36982 40898 43706 64493 73964 76219 81796 87412 128986 152438 203401 240383 257972 284089 304876 406802 480766 568178 813604 838409 961532 1136356 1676818 2644213 3124979 3353636 5288426 6249958 10576852 12499916 34374769 68749538 137499076