133134391756800 has 864 divisors, whose sum is σ = 568867497962400. Its totient is φ = 30430702632960.

The previous prime is 133134391756787. The next prime is 133134391756811. The reversal of 133134391756800 is 8657193431331.

It is a happy number.

133134391756800 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 34 + 39 + 17 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66754879 + ... + 68720321.

It is an arithmetic number, because the mean of its divisors is an integer number (658411455975).

Almost surely, 2^{133134391756800} is an apocalyptic number.

133134391756800 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 133134391756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284433748981200).

133134391756800 is an abundant number, since it is smaller than the sum of its proper divisors (435733106205600).

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

133134391756800 is a wasteful number, since it uses less digits than its factorization.

133134391756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965498 (or 1965460 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 133134391756800 in words is "one hundred thirty-three trillion, one hundred thirty-four billion, three hundred ninety-one million, seven hundred fifty-six thousand, eight hundred".