133242080132160 has 336 divisors, whose sum is σ = 462887136494640. Its totient is φ = 35175451852800.

The previous prime is 133242080132159. The next prime is 133242080132179. The reversal of 133242080132160 is 61231080242331.

133242080132160 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 420 + 8 + 0 + 13 + 216 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 348033923136 + 132894046209024 = 589944^2 + 11527968^2 .

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, 3295359304 + ... + 3295399736.

Almost surely, 2^{133242080132160} is an apocalyptic number.

133242080132160 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 133242080132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231443568247320).

133242080132160 is an abundant number, since it is smaller than the sum of its proper divisors (329645056362480).

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

133242080132160 is a wasteful number, since it uses less digits than its factorization.

133242080132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51886 (or 51873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 133242080132160 in words is "one hundred thirty-three trillion, two hundred forty-two billion, eighty million, one hundred thirty-two thousand, one hundred sixty".