137501640 has 48 divisors (see below), whose sum is σ = 446881500. Its totient is φ = 36667008.

The previous prime is 137501629. The next prime is 137501641. The reversal of 137501640 is 46105731.

137501640 is a `hidden beast` number, since 13 + 7 + 5 + 0 + 1 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124411716 + 13089924 = 11154^2 + 3618^2 .

It is not an unprimeable number, because it can be changed into a prime (137501641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 190615 + ... + 191334.

Almost surely, 2^137501640 is an apocalyptic number.

137501640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137501640 is an abundant number, since it is smaller than the sum of its proper divisors (309379860).

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

137501640 is a wasteful number, since it uses less digits than its factorization.

137501640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381966 (or 381959 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137501640 is about 11726.1093291850. The cubic root of 137501640 is about 516.1421097678.

The spelling of 137501640 in words is "one hundred thirty-seven million, five hundred one thousand, six hundred forty".