133085760584256 has 168 divisors, whose sum is σ = 382087292094144. Its totient is φ = 44289726888960.

The previous prime is 133085760584207. The next prime is 133085760584303. The reversal of 133085760584256 is 652485067580331.

133085760584256 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 8 + 576 + 0 + 5 + 8 + 4 + 2 + 56 = 666.

133085760584256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133085760584193 and 133085760584202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456925685 + ... + 2456979851.

It is an arithmetic number, because the mean of its divisors is an integer number (2274329119608).

Almost surely, 2^{133085760584256} is an apocalyptic number.

133085760584256 is a gapful number since it is divisible by the number (16) 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 133085760584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191043646047072).

133085760584256 is an abundant number, since it is smaller than the sum of its proper divisors (249001531509888).

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

133085760584256 is a wasteful number, since it uses less digits than its factorization.

133085760584256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61049 (or 61036 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 133085760584256 in words is "one hundred thirty-three trillion, eighty-five billion, seven hundred sixty million, five hundred eighty-four thousand, two hundred fifty-six".