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137795064 = 233111730703
BaseRepresentation
bin10000011011010…
…01010111111000
3100121021201021220
420031221113320
5240233420224
621401232040
73262144611
oct1015512770
9317251256
10137795064
1170866520
123a192620
1322717854
141442cc08
15c16d279
hex83695f8

137795064 has 64 divisors (see below), whose sum is σ = 397923840. Its totient is φ = 39298560.

The previous prime is 137795059. The next prime is 137795089. The reversal of 137795064 is 460597731.

137795064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (6217560).

Almost surely, 2137795064 is an apocalyptic number.

It is an amenable number.

137795064 is an abundant number, since it is smaller than the sum of its proper divisors (260128776).

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

137795064 is a wasteful number, since it uses less digits than its factorization.

137795064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30740 (or 30736 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 137795064 is about 11738.6142282639. The cubic root of 137795064 is about 516.5089923767.

The spelling of 137795064 in words is "one hundred thirty-seven million, seven hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 30703 61406 92109 122812 184218 245624 337733 368436 521951 675466 736872 1013199 1043902 1350932 1565853 2026398 2087804 2701864 3131706 4052796 4175608 5741461 6263412 8105592 11482922 12526824 17224383 22965844 34448766 45931688 68897532 137795064