133071966892800 has 4320 divisors, whose sum is σ = 596901456486720. Its totient is φ = 28894769971200.

The previous prime is 133071966892763. The next prime is 133071966892849. The reversal of 133071966892800 is 8298669170331.

133071966892800 is a `hidden beast` number, since 1 + 3 + 307 + 196 + 68 + 9 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 245974060530 + ... + 245974061070.

It is an arithmetic number, because the mean of its divisors is an integer number (138171633446).

Almost surely, 2^{133071966892800} is an apocalyptic number.

133071966892800 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 133071966892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298450728243360).

133071966892800 is an abundant number, since it is smaller than the sum of its proper divisors (463829489593920).

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

133071966892800 is a wasteful number, since it uses less digits than its factorization.

133071966892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 133071966892800 in words is "one hundred thirty-three trillion, seventy-one billion, nine hundred sixty-six million, eight hundred ninety-two thousand, eight hundred".