137867664 has 80 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 40425600.

The previous prime is 137867659. The next prime is 137867701. The reversal of 137867664 is 466768731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12157 + ... + 20579.

Almost surely, 2^137867664 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 137867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

137867664 is an abundant number, since it is smaller than the sum of its proper divisors (263249520).

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

137867664 is a wasteful number, since it uses less digits than its factorization.

137867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8470 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 137867664 is about 11741.7061792569. The cubic root of 137867664 is about 516.5996873747.

The spelling of 137867664 in words is "one hundred thirty-seven million, eight hundred sixty-seven thousand, six hundred sixty-four".