133316856000 has 1008 divisors, whose sum is σ = 521859967200. Its totient is φ = 32462438400.

The previous prime is 133316855999. The next prime is 133316856019. The reversal of 133316856000 is 658613331.

It is a happy number.

133316856000 is a `hidden beast` number, since 1 + 3 + 3 + 31 + 68 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 894743926 + ... + 894744074.

Almost surely, 2^133316856000 is an apocalyptic number.

133316856000 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 133316856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260929983600).

133316856000 is an abundant number, since it is smaller than the sum of its proper divisors (388543111200).

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

133316856000 is a wasteful number, since it uses less digits than its factorization.

133316856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 133316856000 in words is "one hundred thirty-three billion, three hundred sixteen million, eight hundred fifty-six thousand".