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137076232 = 23531132861
BaseRepresentation
bin10000010101110…
…01111000001000
3100112221012020111
420022321320020
5240042414412
621334004104
73253062106
oct1012717010
9315835214
10137076232
1170415447
1239aa6634
13225255c7
14142c2c76
15c07a2a7
hex82b9e08

137076232 has 32 divisors (see below), whose sum is σ = 264277080. Its totient is φ = 66626560.

The previous prime is 137076227. The next prime is 137076239. The reversal of 137076232 is 232670731.

It can be written as a sum of positive squares in 4 ways, for example, as 96550276 + 40525956 = 9826^2 + 6366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137076194 and 137076203.

It is not an unprimeable number, because it can be changed into a prime (137076239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46482 + ... + 49342.

Almost surely, 2137076232 is an apocalyptic number.

It is an amenable number.

137076232 is a deficient number, since it is larger than the sum of its proper divisors (127200848).

137076232 is a wasteful number, since it uses less digits than its factorization.

137076232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 137076232 is about 11707.9559274879. The cubic root of 137076232 is about 515.6092729430.

The spelling of 137076232 in words is "one hundred thirty-seven million, seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 53 106 113 212 226 424 452 904 2861 5722 5989 11444 11978 22888 23956 47912 151633 303266 323293 606532 646586 1213064 1293172 2586344 17134529 34269058 68538116 137076232