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137294790 = 23537179691
BaseRepresentation
bin10000010111011…
…11001111000110
3100120100022001020
420023233033012
5240121413130
621342412010
73254662233
oct1013571706
9316308036
10137294790
1170554676
1239b91006
13225a0c29
141433c78a
15c0bee10
hex82ef3c6

137294790 has 64 divisors (see below), whose sum is σ = 340796160. Its totient is φ = 35372160.

The previous prime is 137294789. The next prime is 137294809. The reversal of 137294790 is 97492731.

It is a super-2 number, since 2×1372947902 = 37699718722288200, which contains 22 as substring.

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, 198345 + ... + 199035.

It is an arithmetic number, because the mean of its divisors is an integer number (5324940).

Almost surely, 2137294790 is an apocalyptic number.

137294790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137294790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170398080).

137294790 is an abundant number, since it is smaller than the sum of its proper divisors (203501370).

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

137294790 is a wasteful number, since it uses less digits than its factorization.

137294790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 137294790 is about 11717.2859485463. The cubic root of 137294790 is about 515.8831611549.

The spelling of 137294790 in words is "one hundred thirty-seven million, two hundred ninety-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 179 185 222 358 370 537 555 691 895 1074 1110 1382 1790 2073 2685 3455 4146 5370 6623 6910 10365 13246 19869 20730 25567 33115 39738 51134 66230 76701 99345 123689 127835 153402 198690 247378 255670 371067 383505 618445 742134 767010 1236890 1855335 3710670 4576493 9152986 13729479 22882465 27458958 45764930 68647395 137294790