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137059136 = 262141549
BaseRepresentation
bin10000010101101…
…01101101000000
3100112220022210022
420022311231000
5240041343021
621333353012
73252661214
oct1012655500
9315808708
10137059136
1170403615
1239a98768
132251a8a6
14142ba944
15c0751ab
hex82b5b40

137059136 has 14 divisors (see below), whose sum is σ = 271976850. Its totient is φ = 68529536.

The previous prime is 137059127. The next prime is 137059163. The reversal of 137059136 is 631950731.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 61716736 = 8680^2 + 7856^2 .

It is a super-2 number, since 2×1370591362 = 37570413522132992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137059096 and 137059105.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1070711 + ... + 1070838.

Almost surely, 2137059136 is an apocalyptic number.

137059136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137059136 is a deficient number, since it is larger than the sum of its proper divisors (134917714).

137059136 is an equidigital number, since it uses as much as digits as its factorization.

137059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141561 (or 2141551 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 137059136 is about 11707.2258028963. The cubic root of 137059136 is about 515.5878366408.

It can be divided in two parts, 1370 and 59136, that added together give a palindrome (60506).

The spelling of 137059136 in words is "one hundred thirty-seven million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 2141549 4283098 8566196 17132392 34264784 68529568 137059136