137033664 has 56 divisors (see below), whose sum is σ = 366979200. Its totient is φ = 45122304.

The previous prime is 137033641. The next prime is 137033683. The reversal of 137033664 is 466330731.

137033664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11637 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (6553200).

Almost surely, 2^137033664 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 137033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183489600).

137033664 is an abundant number, since it is smaller than the sum of its proper divisors (229945536).

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

137033664 is an equidigital number, since it uses as much as digits as its factorization.

137033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 137033664 is about 11706.1378771993. The cubic root of 137033664 is about 515.5558945477. Note that the first 3 decimals are identical.

The spelling of 137033664 in words is "one hundred thirty-seven million, thirty-three thousand, six hundred sixty-four".