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138311775 = 32527137641
BaseRepresentation
bin10000011111001…
…11100001011111
3100122020222002100
420033213201133
5240401434100
621420300143
73266426220
oct1017474137
9318228070
10138311775
1171089758
123a3a1653
1322868ab4
1414525247
15c221400
hex83e785f

138311775 has 72 divisors (see below), whose sum is σ = 285633504. Its totient is φ = 62668800.

The previous prime is 138311687. The next prime is 138311839. The reversal of 138311775 is 577113831.

It is a happy number.

It is not a de Polignac number, because 138311775 - 220 = 137263199 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215455 + ... + 216095.

It is an arithmetic number, because the mean of its divisors is an integer number (3967132).

Almost surely, 2138311775 is an apocalyptic number.

138311775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138311775 is an abundant number, since it is smaller than the sum of its proper divisors (147321729).

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

138311775 is a wasteful number, since it uses less digits than its factorization.

138311775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 138311775 is about 11760.6026631291. The cubic root of 138311775 is about 517.1537977114.

The spelling of 138311775 in words is "one hundred thirty-eight million, three hundred eleven thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 137 175 225 315 411 525 641 685 959 1233 1575 1923 2055 2877 3205 3425 4487 4795 5769 6165 8631 9615 10275 13461 14385 16025 22435 23975 28845 30825 40383 43155 48075 67305 71925 87817 112175 144225 201915 215775 263451 336525 439085 614719 790353 1009575 1317255 1844157 2195425 3073595 3951765 5532471 6586275 9220785 15367975 19758825 27662355 46103925 138311775