138392064 has 200 divisors, whose sum is σ = 427794048. Its totient is φ = 44513280.

The previous prime is 138392039. The next prime is 138392101. The reversal of 138392064 is 460293831.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1949149 + ... + 1949219.

Almost surely, 2^138392064 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 138392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897024).

138392064 is an abundant number, since it is smaller than the sum of its proper divisors (289401984).

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

138392064 is an frugal number, since it uses more digits than its factorization.

138392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

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

The square root of 138392064 is about 11764.0156409281. The cubic root of 138392064 is about 517.2538463864.

The spelling of 138392064 in words is "one hundred thirty-eight million, three hundred ninety-two thousand, sixty-four".