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137488680 = 23325754559
BaseRepresentation
bin10000011000111…
…10100100101000
3100120201011000100
420030132210220
5240144114210
621350505400
73256430430
oct1014364450
9316634010
10137488680
117067730a
123a065260
132263b264
141438d2c0
15c10c5c0
hex831e928

137488680 has 96 divisors (see below), whose sum is σ = 510681600. Its totient is φ = 31425408.

The previous prime is 137488669. The next prime is 137488699. The reversal of 137488680 is 86884731.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24760 + ... + 29799.

It is an arithmetic number, because the mean of its divisors is an integer number (5319600).

Almost surely, 2137488680 is an apocalyptic number.

137488680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137488680 is an abundant number, since it is smaller than the sum of its proper divisors (373192920).

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

137488680 is a wasteful number, since it uses less digits than its factorization.

137488680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54583 (or 54576 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 137488680 is about 11725.5567032018. The cubic root of 137488680 is about 516.1258932050.

The spelling of 137488680 in words is "one hundred thirty-seven million, four hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 54559 109118 163677 218236 272795 327354 381913 436472 491031 545590 654708 763826 818385 982062 1091180 1145739 1309416 1527652 1636770 1909565 1964124 2182360 2291478 2455155 3055304 3273540 3437217 3819130 3928248 4582956 4910310 5728695 6547080 6874434 7638260 9165912 9820620 11457390 13748868 15276520 17186085 19641240 22914780 27497736 34372170 45829560 68744340 137488680