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138746556 = 2232132910223
BaseRepresentation
bin10000100010100…
…01101010111100
3100200002001111100
420101101222330
5241004342211
621433453100
73303216624
oct1021215274
9320061440
10138746556
1171356383
123a571190
132298b970
14145d9884
15c2aa156
hex8451abc

138746556 has 72 divisors (see below), whose sum is σ = 390761280. Its totient is φ = 41215104.

The previous prime is 138746549. The next prime is 138746561. The reversal of 138746556 is 655647831.

138746556 is a `hidden beast` number, since 13 + 87 + 4 + 6 + 556 = 666.

It is a super-2 number, since 2×1387465562 = 38501213603722272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8461 + ... + 18683.

It is an arithmetic number, because the mean of its divisors is an integer number (5427240).

Almost surely, 2138746556 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 138746556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195380640).

138746556 is an abundant number, since it is smaller than the sum of its proper divisors (252014724).

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

138746556 is a wasteful number, since it uses less digits than its factorization.

138746556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10270 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 138746556 is about 11779.0727988242. The cubic root of 138746556 is about 517.6951193092.

The spelling of 138746556 in words is "one hundred thirty-eight million, seven hundred forty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 10223 13572 20446 30669 40892 61338 92007 122676 132899 184014 265798 296467 368028 398697 531596 592934 797394 889401 1185868 1196091 1594788 1778802 2392182 2668203 3557604 3854071 4784364 5336406 7708142 10672812 11562213 15416284 23124426 34686639 46248852 69373278 138746556