138932064 has 72 divisors (see below), whose sum is σ = 406231560. Its totient is φ = 46195200.

The previous prime is 138932023. The next prime is 138932089. The reversal of 138932064 is 460239831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138932064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346264 + ... + 346664.

It is an arithmetic number, because the mean of its divisors is an integer number (5642105).

Almost surely, 2^138932064 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 138932064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203115780).

138932064 is an abundant number, since it is smaller than the sum of its proper divisors (267299496).

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

138932064 is an frugal number, since it uses more digits than its factorization.

138932064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 138932064 is about 11786.9446422727. The cubic root of 138932064 is about 517.9257408096.

Multiplying 138932064 by its product of nonzero digits (31104), we get a square (4321342918656 = 2078784²).

The spelling of 138932064 in words is "one hundred thirty-eight million, nine hundred thirty-two thousand, sixty-four".