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137688250 = 25371941101
BaseRepresentation
bin10000011010011…
…11010010111010
3100121002021202211
420031033102322
5240222011000
621355045334
73261221320
oct1015172272
9317067684
10137688250
11707a3247
123a14084a
13226ab04b
1414401d10
15c14b7ba
hex834f4ba

137688250 has 128 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 43200000.

The previous prime is 137688227. The next prime is 137688277. The reversal of 137688250 is 52886731.

137688250 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 63 ways as a sum of consecutive naturals, for example, 1363200 + ... + 1363300.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2137688250 is an apocalyptic number.

137688250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137688250 is an abundant number, since it is smaller than the sum of its proper divisors (183097670).

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

137688250 is a wasteful number, since it uses less digits than its factorization.

137688250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 137688250 is about 11734.0636609829. The cubic root of 137688250 is about 516.3754978682.

The spelling of 137688250 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 41 50 70 82 95 101 125 133 175 190 202 205 250 266 287 350 410 475 505 574 665 707 779 875 950 1010 1025 1330 1414 1435 1558 1750 1919 2050 2375 2525 2870 3325 3535 3838 3895 4141 4750 5050 5125 5453 6650 7070 7175 7790 8282 9595 10250 10906 12625 13433 14350 16625 17675 19190 19475 20705 25250 26866 27265 28987 33250 35350 35875 38950 41410 47975 54530 57974 67165 71750 78679 88375 95950 97375 103525 134330 136325 144935 157358 176750 194750 207050 239875 272650 289870 335825 393395 479750 517625 550753 671650 681625 724675 786790 1035250 1101506 1363250 1449350 1679125 1966975 2753765 3358250 3623375 3933950 5507530 7246750 9834875 13768825 19669750 27537650 68844125 137688250