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138815325 = 32521156087
BaseRepresentation
bin10000100011000…
…10011101011101
3100200012112211100
420101202131131
5241014042300
621435143313
73303624255
oct1021423535
9320175740
10138815325
11713a3010
123a5a4b39
13229b405c
1414616965
15c2c0700
hex846275d

138815325 has 36 divisors (see below), whose sum is σ = 271241568. Its totient is φ = 67303200.

The previous prime is 138815323. The next prime is 138815333. The reversal of 138815325 is 523518831.

It is not a de Polignac number, because 138815325 - 21 = 138815323 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138815325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138815323) 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 35 ways as a sum of consecutive naturals, for example, 25569 + ... + 30518.

It is an arithmetic number, because the mean of its divisors is an integer number (7534488).

Almost surely, 2138815325 is an apocalyptic number.

138815325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138815325 is a deficient number, since it is larger than the sum of its proper divisors (132426243).

138815325 is a wasteful number, since it uses less digits than its factorization.

138815325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56114 (or 56106 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 138815325 is about 11781.9915549112. The cubic root of 138815325 is about 517.7806361355.

The spelling of 138815325 in words is "one hundred thirty-eight million, eight hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 56087 168261 280435 504783 616957 841305 1402175 1850871 2523915 3084785 4206525 5552613 9254355 12619575 15423925 27763065 46271775 138815325