138595320 has 128 divisors (see below), whose sum is σ = 465192000. Its totient is φ = 36702720.

The previous prime is 138595319. The next prime is 138595333. The reversal of 138595320 is 23595831.

138595320 is a `hidden beast` number, since 1 + 38 + 595 + 32 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195126 + ... + 195834.

Almost surely, 2^138595320 is an apocalyptic number.

138595320 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 138595320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232596000).

138595320 is an abundant number, since it is smaller than the sum of its proper divisors (326596680).

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

138595320 is a wasteful number, since it uses less digits than its factorization.

138595320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 138595320 is about 11772.6513581266. The cubic root of 138595320 is about 517.5069522275.

The spelling of 138595320 in words is "one hundred thirty-eight million, five hundred ninety-five thousand, three hundred twenty".