138987569280 has 384 divisors, whose sum is σ = 513111473280. Its totient is φ = 31347523584.

The previous prime is 138987569269. The next prime is 138987569317. The reversal of 138987569280 is 82965789831.

It is a happy number.

138987569280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83878212 + ... + 83879868.

It is an arithmetic number, because the mean of its divisors is an integer number (1336227795).

Almost surely, 2^138987569280 is an apocalyptic number.

138987569280 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 138987569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256555736640).

138987569280 is an abundant number, since it is smaller than the sum of its proper divisors (374123904000).

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

138987569280 is an equidigital number, since it uses as much as digits as its factorization.

138987569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 138987569280 in words is "one hundred thirty-eight billion, nine hundred eighty-seven million, five hundred sixty-nine thousand, two hundred eighty".