138391584 has 24 divisors (see below), whose sum is σ = 363278160. Its totient is φ = 46130496.

The previous prime is 138391571. The next prime is 138391601. The reversal of 138391584 is 485193831.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 720694 + ... + 720885.

It is an arithmetic number, because the mean of its divisors is an integer number (15136590).

Almost surely, 2^138391584 is an apocalyptic number.

It is an amenable number.

138391584 is an abundant number, since it is smaller than the sum of its proper divisors (224886576).

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

138391584 is a wasteful number, since it uses less digits than its factorization.

138391584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441592 (or 1441584 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 138391584 is about 11763.9952397134. The cubic root of 138391584 is about 517.2532483701.

The spelling of 138391584 in words is "one hundred thirty-eight million, three hundred ninety-one thousand, five hundred eighty-four".