133473970000800 has 1152 divisors, whose sum is σ = 567541595013120. Its totient is φ = 29846328422400.

The previous prime is 133473970000783. The next prime is 133473970000831. The reversal of 133473970000800 is 8000079374331.

133473970000800 is a `hidden beast` number, since 1 + 33 + 473 + 9 + 70 + 0 + 0 + 0 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4395347217 + ... + 4395377583.

It is an arithmetic number, because the mean of its divisors is an integer number (492657634560).

Almost surely, 2^{133473970000800} is an apocalyptic number.

133473970000800 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 133473970000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283770797506560).

133473970000800 is an abundant number, since it is smaller than the sum of its proper divisors (434067625012320).

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

133473970000800 is a wasteful number, since it uses less digits than its factorization.

133473970000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31843 (or 31824 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 133473970000800 in words is "one hundred thirty-three trillion, four hundred seventy-three billion, nine hundred seventy million, eight hundred", and thus it is an aban number.