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137257330 = 25721923641
BaseRepresentation
bin10000010111001…
…10000101110010
3100120021101122211
420023212011302
5240114213310
621341522334
73254445100
oct1013460562
9316241584
10137257330
1170529511
1239b733aa
1322589b72
141432cc70
15c0b3c8a
hex82e6172

137257330 has 96 divisors (see below), whose sum is σ = 316172160. Its totient is φ = 42577920.

The previous prime is 137257327. The next prime is 137257361. The reversal of 137257330 is 33752731.

It is a junction number, because it is equal to n+sod(n) for n = 137257292 and 137257301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213810 + ... + 214450.

It is an arithmetic number, because the mean of its divisors is an integer number (3293460).

Almost surely, 2137257330 is an apocalyptic number.

137257330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137257330 is an abundant number, since it is smaller than the sum of its proper divisors (178914830).

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

137257330 is a wasteful number, since it uses less digits than its factorization.

137257330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 137257330 is about 11715.6873464599. The cubic root of 137257330 is about 515.8362384201.

The spelling of 137257330 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 49 70 95 98 115 133 161 190 230 245 266 322 437 490 641 665 805 874 931 1127 1282 1330 1610 1862 2185 2254 3059 3205 4370 4487 4655 5635 6118 6410 8974 9310 11270 12179 14743 15295 21413 22435 24358 29486 30590 31409 42826 44870 60895 62818 73715 85253 103201 107065 121790 147430 157045 170506 206402 214130 280117 314090 426265 516005 560234 596771 722407 852530 1032010 1193542 1400585 1444814 1960819 2801170 2983855 3612035 3921638 5967710 7224070 9804095 13725733 19608190 27451466 68628665 137257330