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138354957 = 32131182521
BaseRepresentation
bin10000011111100…
…10000100001101
3100122100011022200
420033302010031
5240404324312
621421232113
73266666136
oct1017620415
9318304280
10138354957
1171109144
123a402639
1322882650
1414536c8d
15c22e0dc
hex83f210d

138354957 has 12 divisors (see below), whose sum is σ = 215219004. Its totient is φ = 85141440.

The previous prime is 138354919. The next prime is 138354961. The reversal of 138354957 is 759453831.

It can be written as a sum of positive squares in 2 ways, for example, as 75533481 + 62821476 = 8691^2 + 7926^2 .

It is not a de Polignac number, because 138354957 - 211 = 138352909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138354907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591144 + ... + 591377.

It is an arithmetic number, because the mean of its divisors is an integer number (17934917).

Almost surely, 2138354957 is an apocalyptic number.

It is an amenable number.

138354957 is a deficient number, since it is larger than the sum of its proper divisors (76864047).

138354957 is a wasteful number, since it uses less digits than its factorization.

138354957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182540 (or 1182537 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 138354957 is about 11762.4383951628. The cubic root of 138354957 is about 517.2076119092.

The spelling of 138354957 in words is "one hundred thirty-eight million, three hundred fifty-four thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 39 117 1182521 3547563 10642689 15372773 46118319 138354957