138361590 has 48 divisors (see below), whose sum is σ = 361086336. Its totient is φ = 36758400.

The previous prime is 138361579. The next prime is 138361621. The reversal of 138361590 is 95163831.

It is a happy number.

138361590 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 61 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22555 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (7522632).

Almost surely, 2^138361590 is an apocalyptic number.

138361590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138361590 is an abundant number, since it is smaller than the sum of its proper divisors (222724746).

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

138361590 is a wasteful number, since it uses less digits than its factorization.

138361590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 138361590 is about 11762.7203486268. The cubic root of 138361590 is about 517.2158770829.

The spelling of 138361590 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, five hundred ninety".