137650464 has 72 divisors (see below), whose sum is σ = 447370560. Its totient is φ = 39328128.

The previous prime is 137650433. The next prime is 137650493. The reversal of 137650464 is 464056731.

It is a happy number.

137650464 is a `hidden beast` number, since 137 + 65 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32124 + ... + 36155.

It is an arithmetic number, because the mean of its divisors is an integer number (6213480).

Almost surely, 2^137650464 is an apocalyptic number.

137650464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137650464 is an abundant number, since it is smaller than the sum of its proper divisors (309720096).

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

137650464 is a wasteful number, since it uses less digits than its factorization.

137650464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68302 (or 68291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 137650464 is about 11732.4534518574. The cubic root of 137650464 is about 516.3282569702.

The spelling of 137650464 in words is "one hundred thirty-seven million, six hundred fifty thousand, four hundred sixty-four".