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138742725 = 35211433911
BaseRepresentation
bin10000100010100…
…00101111000101
3100200001212020110
420101100233011
5241004231400
621433423233
73303202512
oct1021205705
9320055213
10138742725
1171353510
123a56ab19
1322989cb4
14145d8309
15c2a8e50
hex8450bc5

138742725 has 48 divisors (see below), whose sum is σ = 256126464. Its totient is φ = 65688000.

The previous prime is 138742697. The next prime is 138742741. The reversal of 138742725 is 527247831.

It is not a de Polignac number, because 138742725 - 28 = 138742469 is a prime.

It is a Curzon number.

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 in 47 ways as a sum of consecutive naturals, for example, 33520 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (5335968).

Almost surely, 2138742725 is an apocalyptic number.

138742725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138742725 is a deficient number, since it is larger than the sum of its proper divisors (117383739).

138742725 is a wasteful number, since it uses less digits than its factorization.

138742725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3973 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 138742725 is about 11778.9101787899. The cubic root of 138742725 is about 517.6903544864.

The spelling of 138742725 in words is "one hundred thirty-eight million, seven hundred forty-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 43 55 75 129 165 215 275 473 645 825 1075 1419 2365 3225 3911 7095 11733 11825 19555 35475 43021 58665 97775 129063 168173 215105 293325 504519 645315 840865 1075525 1849903 2522595 3226575 4204325 5549709 9249515 12612975 27748545 46247575 138742725