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137388696 = 233171937479
BaseRepresentation
bin10000011000001…
…10001010011000
3100120112001212020
420030012022120
5240132414241
621344414440
73255533064
oct1014061230
9316461766
10137388696
1170609185
123a017420
13226048b3
1414364aa4
15c0dcb66
hex8306298

137388696 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 39647232.

The previous prime is 137388673. The next prime is 137388707. The reversal of 137388696 is 696883731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286585 + ... + 287063.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2137388696 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 137388696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

137388696 is an abundant number, since it is smaller than the sum of its proper divisors (256595304).

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

137388696 is a wasteful number, since it uses less digits than its factorization.

137388696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 137388696 is about 11721.2924202069. The cubic root of 137388696 is about 516.0007511557. Note that the first 3 decimals are identical.

The spelling of 137388696 in words is "one hundred thirty-seven million, three hundred eighty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 37 38 51 57 68 74 76 102 111 114 136 148 152 204 222 228 296 323 408 444 456 479 629 646 703 888 958 969 1258 1292 1406 1437 1887 1916 1938 2109 2516 2584 2812 2874 3774 3832 3876 4218 5032 5624 5748 7548 7752 8143 8436 9101 11496 11951 15096 16286 16872 17723 18202 23902 24429 27303 32572 35446 35853 36404 47804 48858 53169 54606 65144 70892 71706 72808 95608 97716 106338 109212 141784 143412 154717 195432 212676 218424 286824 301291 309434 336737 425352 464151 602582 618868 673474 903873 928302 1010211 1205164 1237736 1346948 1807746 1856604 2020422 2410328 2693896 3615492 3713208 4040844 5724529 7230984 8081688 11449058 17173587 22898116 34347174 45796232 68694348 137388696