137369664 has 84 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 45131520.

The previous prime is 137369663. The next prime is 137369671. The reversal of 137369664 is 466963731.

It is not an unprimeable number, because it can be changed into a prime (137369663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39217 + ... + 42575.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^137369664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

137369664 is an abundant number, since it is smaller than the sum of its proper divisors (262040256).

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

137369664 is a wasteful number, since it uses less digits than its factorization.

137369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3435 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 137369664 is about 11720.4805362238. The cubic root of 137369664 is about 515.9769234317.

The spelling of 137369664 in words is "one hundred thirty-seven million, three hundred sixty-nine thousand, six hundred sixty-four".