138759664 has 40 divisors (see below), whose sum is σ = 281075760. Its totient is φ = 66275328.

The previous prime is 138759653. The next prime is 138759701. The reversal of 138759664 is 466957831.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43467 + ... + 46549.

It is an arithmetic number, because the mean of its divisors is an integer number (7026894).

Almost surely, 2^138759664 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 138759664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140537880).

138759664 is an abundant number, since it is smaller than the sum of its proper divisors (142316096).

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

138759664 is a wasteful number, since it uses less digits than its factorization.

138759664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3211 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 138759664 is about 11779.6291962014. The cubic root of 138759664 is about 517.7114217774.

The spelling of 138759664 in words is "one hundred thirty-eight million, seven hundred fifty-nine thousand, six hundred sixty-four".