133136640000 has 1440 divisors, whose sum is σ = 596041205760. Its totient is φ = 27869184000.

The previous prime is 133136639989. The next prime is 133136640019. The reversal of 133136640000 is 46631331.

133136640000 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1048319937 + ... + 1048320063.

It is an arithmetic number, because the mean of its divisors is an integer number (413917504).

Almost surely, 2^133136640000 is an apocalyptic number.

133136640000 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 133136640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298020602880).

133136640000 is an abundant number, since it is smaller than the sum of its proper divisors (462904565760).

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

133136640000 is a wasteful number, since it uses less digits than its factorization.

133136640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 133136640000 in words is "one hundred thirty-three billion, one hundred thirty-six million, six hundred forty thousand".