138631584 has 144 divisors (see below), whose sum is σ = 456085728. Its totient is φ = 36546048.

The previous prime is 138631579. The next prime is 138631601. The reversal of 138631584 is 485136831.

138631584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60019 + ... + 62285.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262).

Almost surely, 2^138631584 is an apocalyptic number.

138631584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138631584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228042864).

138631584 is an abundant number, since it is smaller than the sum of its proper divisors (317454144).

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

138631584 is a wasteful number, since it uses less digits than its factorization.

138631584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2292 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 138631584 is about 11774.1914372071. The cubic root of 138631584 is about 517.5520841881.

The spelling of 138631584 in words is "one hundred thirty-eight million, six hundred thirty-one thousand, five hundred eighty-four".