138324320 has 48 divisors (see below), whose sum is σ = 332352720. Its totient is φ = 54388224.

The previous prime is 138324311. The next prime is 138324331. The reversal of 138324320 is 23423831.

It is a self number, because there is not a number n which added to its sum of digits gives 138324320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2114 + ... + 16766.

It is an arithmetic number, because the mean of its divisors is an integer number (6924015).

Almost surely, 2^138324320 is an apocalyptic number.

138324320 is a gapful number since it is divisible by the number (10) 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 138324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166176360).

138324320 is an abundant number, since it is smaller than the sum of its proper divisors (194028400).

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

138324320 is a wasteful number, since it uses less digits than its factorization.

138324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 138324320 is about 11761.1359995538. The cubic root of 138324320 is about 517.1694326739.

The spelling of 138324320 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, three hundred twenty".