133368341356800 has 6480 divisors, whose sum is σ = 623395448387712. Its totient is φ = 27776817561600.

The previous prime is 133368341356787. The next prime is 133368341356829. The reversal of 133368341356800 is 8653143863331.

133368341356800 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 68 + 3 + 4 + 13 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×133368341356800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1294838265549 + ... + 1294838265651.

Almost surely, 2^{133368341356800} is an apocalyptic number.

133368341356800 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 133368341356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311697724193856).

133368341356800 is an abundant number, since it is smaller than the sum of its proper divisors (490027107030912).

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

133368341356800 is a wasteful number, since it uses less digits than its factorization.

133368341356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 133368341356800 in words is "one hundred thirty-three trillion, three hundred sixty-eight billion, three hundred forty-one million, three hundred fifty-six thousand, eight hundred".