138325520 has 80 divisors (see below), whose sum is σ = 330568128. Its totient is φ = 53813760.

The previous prime is 138325507. The next prime is 138325531. The reversal of 138325520 is 25523831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702062 + ... + 702258.

Almost surely, 2^138325520 is an apocalyptic number.

138325520 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 138325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284064).

138325520 is an abundant number, since it is smaller than the sum of its proper divisors (192242608).

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

138325520 is a wasteful number, since it uses less digits than its factorization.

138325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 138325520 is about 11761.1870149233. The cubic root of 138325520 is about 517.1709281967.

The spelling of 138325520 in words is "one hundred thirty-eight million, three hundred twenty-five thousand, five hundred twenty".