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138624945 = 35531271373
BaseRepresentation
bin10000100001100…
…11111110110001
3100122211212200020
420100303332301
5240441444240
621431114053
73302202234
oct1020637661
9318755606
10138624945
1171282a78
123a512929
13229484c4
14145a741b
15c2840d0
hex8433fb1

138624945 has 32 divisors (see below), whose sum is σ = 227930112. Its totient is φ = 71914752.

The previous prime is 138624917. The next prime is 138624947. The reversal of 138624945 is 549426831.

138624945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138624945 - 26 = 138624881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138624897 and 138624906.

It is not an unprimeable number, because it can be changed into a prime (138624947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100279 + ... + 101651.

It is an arithmetic number, because the mean of its divisors is an integer number (7122816).

Almost surely, 2138624945 is an apocalyptic number.

138624945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138624945 is a deficient number, since it is larger than the sum of its proper divisors (89305167).

138624945 is a wasteful number, since it uses less digits than its factorization.

138624945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561.

The product of its digits is 207360, while the sum is 42.

The square root of 138624945 is about 11773.9095036441. The cubic root of 138624945 is about 517.5438222826.

It can be divided in two parts, 1386 and 24945, that multiplied together give a triangular number (34573770 = T8315).

The spelling of 138624945 in words is "one hundred thirty-eight million, six hundred twenty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 15 53 127 159 265 381 635 795 1373 1905 4119 6731 6865 20193 20595 33655 72769 100965 174371 218307 363845 523113 871855 1091535 2615565 9241663 27724989 46208315 138624945