133338894336000 has 4096 divisors, whose sum is σ = 565316444160000. Its totient is φ = 30831280128000.

The previous prime is 133338894335947. The next prime is 133338894336073. The reversal of 133338894336000 is 633498833331.

133338894336000 is a `hidden beast` number, since 13 + 33 + 38 + 89 + 433 + 60 + 0 + 0 = 666.

133338894336000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4096).

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1498189823956 + ... + 1498189824044.

It is an arithmetic number, because the mean of its divisors is an integer number (138016710000).

Almost surely, 2^{133338894336000} is an apocalyptic number.

133338894336000 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 133338894336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282658222080000).

133338894336000 is an abundant number, since it is smaller than the sum of its proper divisors (431977549824000).

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

133338894336000 is an equidigital number, since it uses as much as digits as its factorization.

133338894336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 133338894336000 in words is "one hundred thirty-three trillion, three hundred thirty-eight billion, eight hundred ninety-four million, three hundred thirty-six thousand".