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137370960 = 24325190793
BaseRepresentation
bin10000011000000…
…01110101010000
3100120111011112100
420030001311100
5240131332320
621344200400
73255430266
oct1014016520
9316434470
10137370960
11705a6921
123a009100
13225c97bc
141435c436
15c0d7790
hex8301d50

137370960 has 60 divisors (see below), whose sum is σ = 461339892. Its totient is φ = 36632064.

The previous prime is 137370953. The next prime is 137370977. The reversal of 137370960 is 69073731.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 53758224 = 9144^2 + 7332^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94677 + ... + 96116.

Almost surely, 2137370960 is an apocalyptic number.

137370960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137370960 is an abundant number, since it is smaller than the sum of its proper divisors (323968932).

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

137370960 is a wasteful number, since it uses less digits than its factorization.

137370960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190812 (or 190803 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 137370960 is about 11720.5358239289. The cubic root of 137370960 is about 515.9785460703.

The spelling of 137370960 in words is "one hundred thirty-seven million, three hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 190793 381586 572379 763172 953965 1144758 1526344 1717137 1907930 2289516 2861895 3052688 3434274 3815860 4579032 5723790 6868548 7631720 8585685 9158064 11447580 13737096 15263440 17171370 22895160 27474192 34342740 45790320 68685480 137370960