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137899776 = 2837113227
BaseRepresentation
bin10000011100000…
…10111100000000
3100121111000221010
420032002330000
5240300243101
621403400520
73263062110
oct1016027400
9317430833
10137899776
1170928163
123a223140
1322753401
1414459040
15c18e2d6
hex8382f00

137899776 has 144 divisors (see below), whose sum is σ = 425021184. Its totient is φ = 38879232.

The previous prime is 137899763. The next prime is 137899819. The reversal of 137899776 is 677998731.

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, 607375 + ... + 607601.

It is an arithmetic number, because the mean of its divisors is an integer number (2951536).

Almost surely, 2137899776 is an apocalyptic number.

137899776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137899776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212510592).

137899776 is an abundant number, since it is smaller than the sum of its proper divisors (287121408).

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

137899776 is a wasteful number, since it uses less digits than its factorization.

137899776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 57.

The square root of 137899776 is about 11743.0735329385. The cubic root of 137899776 is about 516.6397928906.

The spelling of 137899776 in words is "one hundred thirty-seven million, eight hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 227 256 336 339 384 448 452 454 672 678 681 768 791 896 904 908 1344 1356 1362 1582 1589 1792 1808 1816 2373 2688 2712 2724 3164 3178 3616 3632 4746 4767 5376 5424 5448 6328 6356 7232 7264 9492 9534 10848 10896 12656 12712 14464 14528 18984 19068 21696 21792 25312 25424 25651 28928 29056 37968 38136 43392 43584 50624 50848 51302 58112 75936 76272 76953 86784 87168 101248 101696 102604 151872 152544 153906 174336 179557 202496 203392 205208 303744 305088 307812 359114 406784 410416 538671 607488 610176 615624 718228 820832 1077342 1220352 1231248 1436456 1641664 2154684 2462496 2872912 3283328 4309368 4924992 5745824 6566656 8618736 9849984 11491648 17237472 19699968 22983296 34474944 45966592 68949888 137899776