138331584 has 168 divisors, whose sum is σ = 433557680. Its totient is φ = 43241472.

The previous prime is 138331561. The next prime is 138331597. The reversal of 138331584 is 485133831.

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 23 ways as a sum of consecutive naturals, for example, 499254 + ... + 499530.

Almost surely, 2^138331584 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 138331584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216778840).

138331584 is an abundant number, since it is smaller than the sum of its proper divisors (295226096).

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

138331584 is a wasteful number, since it uses less digits than its factorization.

138331584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 138331584 is about 11761.4448092061. Note that the first 3 decimals coincide. The cubic root of 138331584 is about 517.1784854396.

The spelling of 138331584 in words is "one hundred thirty-eight million, three hundred thirty-one thousand, five hundred eighty-four".