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130165137 = 362947131
BaseRepresentation
bin1111100001000…
…10100110010001
3100001221002000000
413300202212101
5231310241022
620525520213
73140246124
oct760424621
9301832000
10130165137
1167524aa3
1237713069
1320c759bb
14134043bb
15b6626ac
hex7c22991

130165137 has 56 divisors (see below), whose sum is σ = 207757440. Its totient is φ = 81375840.

The previous prime is 130165111. The next prime is 130165153. The reversal of 130165137 is 731561031.

130165137 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 651 + 3 + 7 = 666.

It is not a de Polignac number, because 130165137 - 215 = 130132369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130165137.

It is not an unprimeable number, because it can be changed into a prime (130165157) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 993562 + ... + 993692.

Almost surely, 2130165137 is an apocalyptic number.

It is an amenable number.

130165137 is a deficient number, since it is larger than the sum of its proper divisors (77592303).

130165137 is an equidigital number, since it uses as much as digits as its factorization.

130165137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130165137 is about 11408.9936891910. The cubic root of 130165137 is about 506.7941112827.

The spelling of 130165137 in words is "one hundred thirty million, one hundred sixty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 29 47 81 87 131 141 243 261 393 423 729 783 1179 1269 1363 2349 3537 3799 3807 4089 6157 7047 10611 11397 11421 12267 18471 21141 31833 34191 34263 36801 55413 95499 102573 110403 166239 178553 307719 331209 498717 535659 923157 993627 1496151 1606977 2769471 4488453 4820931 14462793 43388379 130165137