133566800480 has 96 divisors (see below), whose sum is σ = 324590662368. Its totient is φ = 51917414400.

The previous prime is 133566800441. The next prime is 133566800503. The reversal of 133566800480 is 84008665331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727640 + ... + 892520.

It is an arithmetic number, because the mean of its divisors is an integer number (3381152733).

Almost surely, 2^133566800480 is an apocalyptic number.

133566800480 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 133566800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162295331184).

133566800480 is an abundant number, since it is smaller than the sum of its proper divisors (191023861888).

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

133566800480 is a wasteful number, since it uses less digits than its factorization.

133566800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165040 (or 165032 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 133566800480 in words is "one hundred thirty-three billion, five hundred sixty-six million, eight hundred thousand, four hundred eighty".