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137983076 = 227112139293
BaseRepresentation
bin10000011100101…
…11010001100100
3100121122021012022
420032113101210
5240310424301
621405242312
73263560010
oct1016272144
9317567168
10137983076
1170984800
123a263398
13227822ba
141447b540
15c1a8d1b
hex8397464

137983076 has 72 divisors (see below), whose sum is σ = 306559680. Its totient is φ = 53190720.

The previous prime is 137983063. The next prime is 137983091. The reversal of 137983076 is 670389731.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 470786 + ... + 471078.

Almost surely, 2137983076 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 137983076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279840).

137983076 is an abundant number, since it is smaller than the sum of its proper divisors (168576604).

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

137983076 is a wasteful number, since it uses less digits than its factorization.

137983076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 137983076 is about 11746.6197691080. The cubic root of 137983076 is about 516.7437994220.

The spelling of 137983076 in words is "one hundred thirty-seven million, nine hundred eighty-three thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 139 154 242 278 293 308 484 556 586 847 973 1172 1529 1694 1946 2051 3058 3223 3388 3892 4102 6116 6446 8204 10703 12892 16819 21406 22561 33638 35453 40727 42812 45122 67276 70906 81454 90244 117733 141812 162908 235466 248171 285089 447997 470932 496342 570178 895994 992684 1140356 1791988 3135979 4927967 6271958 9855934 12543916 19711868 34495769 68991538 137983076