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137438568 = 23321908869
BaseRepresentation
bin10000011000100…
…10010101101000
3100120121121021100
420030102111220
5240141013233
621345441400
73256131351
oct1014222550
9316547240
10137438568
11706426a3
123a040260
13226214c7
1414378d28
15c0ec813
hex8312568

137438568 has 24 divisors (see below), whose sum is σ = 372229650. Its totient is φ = 45812832.

The previous prime is 137438563. The next prime is 137438597. The reversal of 137438568 is 865834731.

137438568 is a `hidden beast` number, since 13 + 74 + 3 + 8 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109369764 + 28068804 = 10458^2 + 5298^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (137438563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 954363 + ... + 954506.

Almost surely, 2137438568 is an apocalyptic number.

137438568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137438568 is an abundant number, since it is smaller than the sum of its proper divisors (234791082).

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

137438568 is a wasteful number, since it uses less digits than its factorization.

137438568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908881 (or 1908874 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 137438568 is about 11723.4196376313. The cubic root of 137438568 is about 516.0631795724.

The spelling of 137438568 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1908869 3817738 5726607 7635476 11453214 15270952 17179821 22906428 34359642 45812856 68719284 137438568