138079584 has 72 divisors (see below), whose sum is σ = 397149480. Its totient is φ = 45500928.

The previous prime is 138079577. The next prime is 138079589. The reversal of 138079584 is 485970831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×138079584² = 38131943035226112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138079589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22939 + ... + 28325.

It is an arithmetic number, because the mean of its divisors is an integer number (5515965).

Almost surely, 2^138079584 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 138079584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198574740).

138079584 is an abundant number, since it is smaller than the sum of its proper divisors (259069896).

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

138079584 is a wasteful number, since it uses less digits than its factorization.

138079584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 138079584 is about 11750.7269562355. The cubic root of 138079584 is about 516.8642448416.

The spelling of 138079584 in words is "one hundred thirty-eight million, seventy-nine thousand, five hundred eighty-four".