138769873920 has 616 divisors, whose sum is σ = 528699716784. Its totient is φ = 34828517376.

The previous prime is 138769873901. The next prime is 138769873927. The reversal of 138769873920 is 29378967831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138769873927) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 8162933752 + ... + 8162933768.

Almost surely, 2^138769873920 is an apocalyptic number.

138769873920 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 138769873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264349858392).

138769873920 is an abundant number, since it is smaller than the sum of its proper divisors (389929842864).

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

138769873920 is an frugal number, since it uses more digits than its factorization.

138769873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 138769873920 in words is "one hundred thirty-eight billion, seven hundred sixty-nine million, eight hundred seventy-three thousand, nine hundred twenty".