138328072 has 32 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 65405824.

The previous prime is 138328067. The next prime is 138328087. The reversal of 138328072 is 270823831.

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, 12153 + ... + 20599.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2^138328072 is an apocalyptic number.

It is an amenable number.

138328072 is a deficient number, since it is larger than the sum of its proper divisors (135387128).

138328072 is a wasteful number, since it uses less digits than its factorization.

138328072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 138328072 is about 11761.2955068734. The cubic root of 138328072 is about 517.1741086464.

It can be divided in two parts, 13832 and 8072, that added together give a square (21904 = 148²).

The spelling of 138328072 in words is "one hundred thirty-eight million, three hundred twenty-eight thousand, seventy-two".