137642960 has 240 divisors, whose sum is σ = 417379536. Its totient is φ = 41803776.

The previous prime is 137642951. The next prime is 137642977. The reversal of 137642960 is 69246731.

It can be written as a sum of positive squares in 8 ways, for example, as 3136 + 137639824 = 56^2 + 11732^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885484 + ... + 1885556.

Almost surely, 2^137642960 is an apocalyptic number.

137642960 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 137642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208689768).

137642960 is an abundant number, since it is smaller than the sum of its proper divisors (279736576).

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

137642960 is a wasteful number, since it uses less digits than its factorization.

137642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 137642960 is about 11732.1336507900. The cubic root of 137642960 is about 516.3188742735.

The spelling of 137642960 in words is "one hundred thirty-seven million, six hundred forty-two thousand, nine hundred sixty".