135521312256000 has 624 divisors, whose sum is σ = 532952774928288. Its totient is φ = 32853639168000.

The previous prime is 135521312255999. The next prime is 135521312256061. The reversal of 135521312256000 is 652213125531.

135521312256000 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 13 + 12 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 49351182 + ... + 52024818.

It is an arithmetic number, because the mean of its divisors is an integer number (854090985462).

Almost surely, 2^{135521312256000} is an apocalyptic number.

135521312256000 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 135521312256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266476387464144).

135521312256000 is an abundant number, since it is smaller than the sum of its proper divisors (397431462672288).

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

135521312256000 is a wasteful number, since it uses less digits than its factorization.

135521312256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673693 (or 2673658 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135521312256000 in words is "one hundred thirty-five trillion, five hundred twenty-one billion, three hundred twelve million, two hundred fifty-six thousand".