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138751767 = 32711347577
BaseRepresentation
bin10000100010100…
…10111100010111
3100200002022122100
420101102330113
5241010024032
621433533143
73303241050
oct1021227427
9320068570
10138751767
117135a290
123a5741b3
132299114b
14145db727
15c2ab97c
hex8452f17

138751767 has 48 divisors (see below), whose sum is σ = 251027712. Its totient is φ = 71746560.

The previous prime is 138751741. The next prime is 138751817. The reversal of 138751767 is 767157831.

It is not a de Polignac number, because 138751767 - 28 = 138751511 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138751967) 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 47 ways as a sum of consecutive naturals, for example, 240183 + ... + 240759.

It is an arithmetic number, because the mean of its divisors is an integer number (5229744).

Almost surely, 2138751767 is an apocalyptic number.

138751767 is a deficient number, since it is larger than the sum of its proper divisors (112275945).

138751767 is a wasteful number, since it uses less digits than its factorization.

138751767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 138751767 is about 11779.2939941238. The cubic root of 138751767 is about 517.7016003722.

The spelling of 138751767 in words is "one hundred thirty-eight million, seven hundred fifty-one thousand, seven hundred sixty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 347 577 693 1041 1731 2429 3123 3817 4039 5193 6347 7287 11451 12117 19041 21861 26719 34353 36351 44429 57123 80157 133287 200219 240471 399861 600657 1401533 1801971 2202409 4204599 6607227 12613797 15416863 19821681 46250589 138751767