138737664 has 192 divisors, whose sum is σ = 444880800. Its totient is φ = 42467328.

The previous prime is 138737659. The next prime is 138737693. The reversal of 138737664 is 466737831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 718752 + ... + 718944.

Almost surely, 2^138737664 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 138737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222440400).

138737664 is an abundant number, since it is smaller than the sum of its proper divisors (306143136).

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

138737664 is a wasteful number, since it uses less digits than its factorization.

138737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 138737664 is about 11778.6953437127. The cubic root of 138737664 is about 517.6840597113.

The spelling of 138737664 in words is "one hundred thirty-eight million, seven hundred thirty-seven thousand, six hundred sixty-four".