133820310456000 has 4032 divisors, whose sum is σ = 623297553016320. Its totient is φ = 27187524403200.

The previous prime is 133820310455959. The next prime is 133820310456011. The reversal of 133820310456000 is 654013028331.

133820310456000 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 2 + 0 + 3 + 1 + 0 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 81747287182 + ... + 81747288818.

It is an arithmetic number, because the mean of its divisors is an integer number (154587686760).

Almost surely, 2^{133820310456000} is an apocalyptic number.

133820310456000 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 133820310456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311648776508160).

133820310456000 is an abundant number, since it is smaller than the sum of its proper divisors (489477242560320).

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

133820310456000 is a wasteful number, since it uses less digits than its factorization.

133820310456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 133820310456000 in words is "one hundred thirty-three trillion, eight hundred twenty billion, three hundred ten million, four hundred fifty-six thousand".