135355324256160 has 192 divisors, whose sum is σ = 433613389708800. Its totient is φ = 35481543898112.

The previous prime is 135355324256137. The next prime is 135355324256213. The reversal of 135355324256160 is 61652423553531.

135355324256160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 825361051 + ... + 825525029.

It is an arithmetic number, because the mean of its divisors is an integer number (2258403071400).

Almost surely, 2^{135355324256160} is an apocalyptic number.

135355324256160 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 135355324256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216806694854400).

135355324256160 is an abundant number, since it is smaller than the sum of its proper divisors (298258065452640).

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

135355324256160 is a wasteful number, since it uses less digits than its factorization.

135355324256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193203 (or 193195 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 51.

The spelling of 135355324256160 in words is "one hundred thirty-five trillion, three hundred fifty-five billion, three hundred twenty-four million, two hundred fifty-six thousand, one hundred sixty".