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138115757 = 1323141643
BaseRepresentation
bin10000011101101…
…11101010101101
3100121220000012102
420032313222231
5240324201012
621412144445
73264651563
oct1016675255
9317800172
10138115757
1170a6545a
123a308125
13227ca800
14144b3a33
15c1d32c2
hex83b7aad

138115757 has 24 divisors (see below), whose sum is σ = 158393088. Its totient is φ = 120182400.

The previous prime is 138115741. The next prime is 138115763. The reversal of 138115757 is 757511831.

It is not a de Polignac number, because 138115757 - 24 = 138115741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138115757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138115727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214478 + ... + 215120.

It is an arithmetic number, because the mean of its divisors is an integer number (6599712).

Almost surely, 2138115757 is an apocalyptic number.

It is an amenable number.

138115757 is a deficient number, since it is larger than the sum of its proper divisors (20277331).

138115757 is a wasteful number, since it uses less digits than its factorization.

138115757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its digits is 29400, while the sum is 38.

The square root of 138115757 is about 11752.2660368118. The cubic root of 138115757 is about 516.9093755731.

The spelling of 138115757 in words is "one hundred thirty-eight million, one hundred fifteen thousand, seven hundred fifty-seven".

Divisors: 1 13 31 41 169 403 533 643 1271 5239 6929 8359 16523 19933 26363 108667 214799 259129 342719 817253 3368677 4455347 10624289 138115757