137240640 has 84 divisors (see below), whose sum is σ = 472060524. Its totient is φ = 36596736.

The previous prime is 137240639. The next prime is 137240651. The reversal of 137240640 is 46042731.

137240640 is a `hidden beast` number, since 13 + 7 + 2 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 90782784 = 6816^2 + 9528^2 .

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 11 ways as a sum of consecutive naturals, for example, 20947 + ... + 26706.

Almost surely, 2^137240640 is an apocalyptic number.

137240640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137240640 is an abundant number, since it is smaller than the sum of its proper divisors (334819884).

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

137240640 is a wasteful number, since it uses less digits than its factorization.

137240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47676 (or 47663 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 137240640 is about 11714.9750319836. The cubic root of 137240640 is about 515.8153296259.

The spelling of 137240640 in words is "one hundred thirty-seven million, two hundred forty thousand, six hundred forty".