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137442645 = 32519115991
BaseRepresentation
bin10000011000100…
…11010101010101
3100120121210212100
420030103111111
5240141131040
621345512313
73256146264
oct1014232525
9316553770
10137442645
117064576a
123a042699
1322623312
141437a5db
15c0edb30
hex8313555

137442645 has 24 divisors (see below), whose sum is σ = 239496192. Its totient is φ = 72914400.

The previous prime is 137442593. The next prime is 137442653. The reversal of 137442645 is 546244731.

137442645 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 2 + 645 = 666.

It is not a de Polignac number, because 137442645 - 218 = 137180501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600 + ... + 16590.

It is an arithmetic number, because the mean of its divisors is an integer number (9979008).

Almost surely, 2137442645 is an apocalyptic number.

137442645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137442645 is a deficient number, since it is larger than the sum of its proper divisors (102053547).

137442645 is a wasteful number, since it uses less digits than its factorization.

137442645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16193 (or 16190 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 137442645 is about 11723.5935190538. The cubic root of 137442645 is about 516.0682823826.

The spelling of 137442645 in words is "one hundred thirty-seven million, four hundred forty-two thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 191 573 955 1719 2865 8595 15991 47973 79955 143919 239865 719595 3054281 9162843 15271405 27488529 45814215 137442645