133390762592256 has 960 divisors, whose sum is σ = 453552022123200. Its totient is φ = 38880234897408.

The previous prime is 133390762592201. The next prime is 133390762592273. The reversal of 133390762592256 is 652295267093331.

133390762592256 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 90 + 76 + 259 + 225 + 6 = 666.

It is a super-2 number, since 2×133390762592256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133390762592193 and 133390762592202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9956756950 + ... + 9956770346.

It is an arithmetic number, because the mean of its divisors is an integer number (472450023045).

Almost surely, 2^{133390762592256} is an apocalyptic number.

133390762592256 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 133390762592256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226776011061600).

133390762592256 is an abundant number, since it is smaller than the sum of its proper divisors (320161259530944).

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

133390762592256 is an frugal number, since it uses more digits than its factorization.

133390762592256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 133390762592256 in words is "one hundred thirty-three trillion, three hundred ninety billion, seven hundred sixty-two million, five hundred ninety-two thousand, two hundred fifty-six".