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137560640 = 2657231283
BaseRepresentation
bin10000011001100…
…00001001000000
3100120211210201112
420030300021000
5240203420030
621352222452
73260150300
oct1014601100
9316753645
10137560640
1170716388
123a09aa28
1322664c39
14143ab600
15c123a95
hex8330240

137560640 has 168 divisors, whose sum is σ = 394728192. Its totient is φ = 45480960.

The previous prime is 137560639. The next prime is 137560669. The reversal of 137560640 is 46065731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 137560597 and 137560606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485939 + ... + 486221.

Almost surely, 2137560640 is an apocalyptic number.

137560640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197364096).

137560640 is an abundant number, since it is smaller than the sum of its proper divisors (257167552).

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

137560640 is a wasteful number, since it uses less digits than its factorization.

137560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 137560640 is about 11728.6248128244. The cubic root of 137560640 is about 516.2159222933.

The spelling of 137560640 in words is "one hundred thirty-seven million, five hundred sixty thousand, six hundred forty".