135889980256800 has 1296 divisors, whose sum is σ = 643860326989152. Its totient is φ = 26575873228800.

The previous prime is 135889980256781. The next prime is 135889980256813. The reversal of 135889980256800 is 8652089988531.

135889980256800 is a `hidden beast` number, since 1 + 3 + 58 + 8 + 9 + 9 + 8 + 0 + 2 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 64943719 + ... + 67003481.

It is an arithmetic number, because the mean of its divisors is an integer number (496805807862).

Almost surely, 2^{135889980256800} is an apocalyptic number.

135889980256800 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 135889980256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321930163494576).

135889980256800 is an abundant number, since it is smaller than the sum of its proper divisors (507970346732352).

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

135889980256800 is a wasteful number, since it uses less digits than its factorization.

135889980256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059831 (or 2059808 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 135889980256800 in words is "one hundred thirty-five trillion, eight hundred eighty-nine billion, nine hundred eighty million, two hundred fifty-six thousand, eight hundred".