138890382399 has 160 divisors (see below), whose sum is σ = 226040855040. Its totient is φ = 84815942400.

The previous prime is 138890382361. The next prime is 138890382523. The reversal of 138890382399 is 993283098831.

138890382399 is a `hidden beast` number, since 1 + 3 + 88 + 90 + 3 + 82 + 399 = 666.

It is a Cunningham number, because it is equal to 372680²-1.

It is not a de Polignac number, because 138890382399 - 2²⁸ = 138621946943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138890362399) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 767350089 + ... + 767350269.

It is an arithmetic number, because the mean of its divisors is an integer number (1412755344).

Almost surely, 2^138890382399 is an apocalyptic number.

138890382399 is a deficient number, since it is larger than the sum of its proper divisors (87150472641).

138890382399 is a wasteful number, since it uses less digits than its factorization.

138890382399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 138890382399 in words is "one hundred thirty-eight billion, eight hundred ninety million, three hundred eighty-two thousand, three hundred ninety-nine".