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138135231 = 32131180643
BaseRepresentation
bin10000011101111…
…00011010111111
3100121220222220200
420032330122333
5240330311411
621412414543
73265062423
oct1016743277
9317828820
10138135231
1170a79053
123a317453
1322806630
14144bab83
15c1d8e56
hex83bc6bf

138135231 has 12 divisors (see below), whose sum is σ = 214877208. Its totient is φ = 85006224.

The previous prime is 138135223. The next prime is 138135241. The reversal of 138135231 is 132531831.

138135231 is a `hidden beast` number, since 138 + 1 + 3 + 523 + 1 = 666.

It is not a de Polignac number, because 138135231 - 23 = 138135223 is a prime.

It is a super-2 number, since 2×1381352312 = 38162684086846722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138135195 and 138135204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138135241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590205 + ... + 590438.

It is an arithmetic number, because the mean of its divisors is an integer number (17906434).

Almost surely, 2138135231 is an apocalyptic number.

138135231 is a deficient number, since it is larger than the sum of its proper divisors (76741977).

138135231 is a wasteful number, since it uses less digits than its factorization.

138135231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180662 (or 1180659 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 138135231 is about 11753.0945286763. The cubic root of 138135231 is about 516.9336687707.

It can be divided in two parts, 13813 and 5231, that added together give a square (19044 = 1382).

The spelling of 138135231 in words is "one hundred thirty-eight million, one hundred thirty-five thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 1180643 3541929 10625787 15348359 46045077 138135231