133052795013600 has 2304 divisors, whose sum is σ = 655734030336000. Its totient is φ = 25181466624000.

The previous prime is 133052795013587. The next prime is 133052795013601. The reversal of 133052795013600 is 6310597250331.

133052795013600 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 27 + 9 + 5 + 0 + 13 + 600 = 666.

It is a super-2 number, since 2×133052795013600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133052795013601) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 876430501 + ... + 876582299.

It is an arithmetic number, because the mean of its divisors is an integer number (284606784000).

Almost surely, 2^{133052795013600} is an apocalyptic number.

133052795013600 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 133052795013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327867015168000).

133052795013600 is an abundant number, since it is smaller than the sum of its proper divisors (522681235322400).

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

133052795013600 is a wasteful number, since it uses less digits than its factorization.

133052795013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151894 (or 151875 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 133052795013600 in words is "one hundred thirty-three trillion, fifty-two billion, seven hundred ninety-five million, thirteen thousand, six hundred".