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138105737 = 7111994399
BaseRepresentation
bin10000011101101…
…01001110001001
3100121212111110022
420032311032021
5240323340422
621412030225
73264610430
oct1016651611
9317774408
10138105737
1170a58980
123a302375
13227c6093
14144b0117
15c1d0342
hex83b5389

138105737 has 16 divisors (see below), whose sum is σ = 181248000. Its totient is φ = 101949840.

The previous prime is 138105703. The next prime is 138105763. The reversal of 138105737 is 737501831.

It is a cyclic number.

It is not a de Polignac number, because 138105737 - 26 = 138105673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138105697 and 138105706.

It is not an unprimeable number, because it can be changed into a prime (138105767) 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 15 ways as a sum of consecutive naturals, for example, 45737 + ... + 48662.

It is an arithmetic number, because the mean of its divisors is an integer number (11328000).

Almost surely, 2138105737 is an apocalyptic number.

It is an amenable number.

138105737 is a deficient number, since it is larger than the sum of its proper divisors (43142263).

138105737 is a wasteful number, since it uses less digits than its factorization.

138105737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94436.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 138105737 is about 11751.8397283149. The cubic root of 138105737 is about 516.8968750511.

The spelling of 138105737 in words is "one hundred thirty-eight million, one hundred five thousand, seven hundred thirty-seven".

Divisors: 1 7 11 19 77 133 209 1463 94399 660793 1038389 1793581 7268723 12555067 19729391 138105737