133320136384512 has 1344 divisors, whose sum is σ = 508159453478400. Its totient is φ = 34152012840960.

The previous prime is 133320136384499. The next prime is 133320136384537. The reversal of 133320136384512 is 215483631023331.

133320136384512 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 0 + 1 + 3 + 638 + 4 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×133320136384512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8702919189 + ... + 8702934507.

Almost surely, 2^{133320136384512} is an apocalyptic number.

133320136384512 is a gapful number since it is divisible by the number (12) 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 133320136384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254079726739200).

133320136384512 is an abundant number, since it is smaller than the sum of its proper divisors (374839317093888).

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

133320136384512 is a wasteful number, since it uses less digits than its factorization.

133320136384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 133320136384512 in words is "one hundred thirty-three trillion, three hundred twenty billion, one hundred thirty-six million, three hundred eighty-four thousand, five hundred twelve".