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138794152 = 23779137229
BaseRepresentation
bin10000100010111…
…01010010101000
3100200011110210011
420101131102220
5241012403102
621434501304
73303505450
oct1021352250
9320143704
10138794152
1171389112
123a594834
13229a7523
141460cd60
15c2b92d7
hex845d4a8

138794152 has 64 divisors (see below), whose sum is σ = 304704000. Its totient is φ = 58046976.

The previous prime is 138794147. The next prime is 138794179. The reversal of 138794152 is 251497831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605974 + ... + 606202.

It is an arithmetic number, because the mean of its divisors is an integer number (4761000).

Almost surely, 2138794152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138794152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152352000).

138794152 is an abundant number, since it is smaller than the sum of its proper divisors (165909848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138794152 is a wasteful number, since it uses less digits than its factorization.

138794152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 138794152 is about 11781.0929883437. The cubic root of 138794152 is about 517.7543097271.

The spelling of 138794152 in words is "one hundred thirty-eight million, seven hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 79 137 158 229 274 316 458 548 553 632 916 959 1096 1106 1603 1832 1918 2212 3206 3836 4424 6412 7672 10823 12824 18091 21646 31373 36182 43292 62746 72364 75761 86584 125492 126637 144728 151522 219611 250984 253274 303044 439222 506548 606088 878444 1013096 1756888 2478467 4956934 9913868 17349269 19827736 34698538 69397076 138794152