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137052927 = 32112947737
BaseRepresentation
bin10000010101101…
…00001011111111
3100112220000021100
420022310023333
5240041143202
621333304143
73252634134
oct1012641377
9315800240
10137052927
11703a9990
1239a95053
1322517b0b
14142b858b
15c07341c
hex82b42ff

137052927 has 24 divisors (see below), whose sum is σ = 223413840. Its totient is φ = 80196480.

The previous prime is 137052919. The next prime is 137052931. The reversal of 137052927 is 729250731.

It is not a de Polignac number, because 137052927 - 23 = 137052919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137052891 and 137052900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137052907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20998 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (9308910).

Almost surely, 2137052927 is an apocalyptic number.

137052927 is a deficient number, since it is larger than the sum of its proper divisors (86360913).

137052927 is a wasteful number, since it uses less digits than its factorization.

137052927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47783 (or 47780 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137052927 is about 11706.9606217839. The cubic root of 137052927 is about 515.5800508696.

The spelling of 137052927 in words is "one hundred thirty-seven million, fifty-two thousand, nine hundred twenty-seven".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 47737 143211 429633 525107 1384373 1575321 4153119 4725963 12459357 15228103 45684309 137052927