137664 has 42 divisors (see below), whose sum is σ = 396240. Its totient is φ = 45696.

The previous prime is 137659. The next prime is 137699. The reversal of 137664 is 466731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 457 + ... + 695.

2¹³⁷⁶⁶⁴ 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 137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120).

137664 is an abundant number, since it is smaller than the sum of its proper divisors (258576).

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

137664 is a wasteful number, since it uses less digits than its factorization.

137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 137664 is about 371.0309960098. The cubic root of 137664 is about 51.6345180972.

The spelling of 137664 in words is "one hundred thirty-seven thousand, six hundred sixty-four".