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137396136 = 23345712527
BaseRepresentation
bin10000011000001…
…11111110101000
3100120112110001210
420030013332220
5240133134021
621344513120
73255563553
oct1014077650
9316473053
10137396136
1170613829
123a01b7a0
13226080b7
141436769a
15c0dee76
hex8307fa8

137396136 has 32 divisors (see below), whose sum is σ = 344269440. Its totient is φ = 45694848.

The previous prime is 137396131. The next prime is 137396143. The reversal of 137396136 is 631693731.

It is a junction number, because it is equal to n+sod(n) for n = 137396094 and 137396103.

It is not an unprimeable number, because it can be changed into a prime (137396131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4705 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (10758420).

Almost surely, 2137396136 is an apocalyptic number.

It is an amenable number.

137396136 is an abundant number, since it is smaller than the sum of its proper divisors (206873304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137396136 is a wasteful number, since it uses less digits than its factorization.

137396136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993 (or 12989 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 137396136 is about 11721.6097870557. The cubic root of 137396136 is about 516.0100653045.

The spelling of 137396136 in words is "one hundred thirty-seven million, three hundred ninety-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 457 914 1371 1828 2742 3656 5484 10968 12527 25054 37581 50108 75162 100216 150324 300648 5724839 11449678 17174517 22899356 34349034 45798712 68698068 137396136