138702529920 has 256 divisors, whose sum is σ = 446574098880. Its totient is φ = 36616273920.

The previous prime is 138702529919. The next prime is 138702529943. The reversal of 138702529920 is 29925207831.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138702529920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89311864 + ... + 89313416.

Almost surely, 2^138702529920 is an apocalyptic number.

138702529920 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 138702529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223287049440).

138702529920 is an abundant number, since it is smaller than the sum of its proper divisors (307871568960).

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

138702529920 is a wasteful number, since it uses less digits than its factorization.

138702529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 138702529920 in words is "one hundred thirty-eight billion, seven hundred two million, five hundred twenty-nine thousand, nine hundred twenty".