138385664 has 72 divisors (see below), whose sum is σ = 303656640. Its totient is φ = 62650368.

The previous prime is 138385657. The next prime is 138385673. The reversal of 138385664 is 466583831.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111254 + ... + 112490.

Almost surely, 2^138385664 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 138385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151828320).

138385664 is an abundant number, since it is smaller than the sum of its proper divisors (165270976).

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

138385664 is a wasteful number, since it uses less digits than its factorization.

138385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1281 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 138385664 is about 11763.7436218238. The cubic root of 138385664 is about 517.2458727219.

The spelling of 138385664 in words is "one hundred thirty-eight million, three hundred eighty-five thousand, six hundred sixty-four".