133189445716800 has 2016 divisors, whose sum is σ = 525839477452800. Its totient is φ = 29378764800000.

The previous prime is 133189445716799. The next prime is 133189445716823. The reversal of 133189445716800 is 8617544981331.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47550675400 + ... + 47550678200.

Almost surely, 2^{133189445716800} is an apocalyptic number.

133189445716800 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 133189445716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262919738726400).

133189445716800 is an abundant number, since it is smaller than the sum of its proper divisors (392650031736000).

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

133189445716800 is a wasteful number, since it uses less digits than its factorization.

133189445716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 133189445716800 in words is "one hundred thirty-three trillion, one hundred eighty-nine billion, four hundred forty-five million, seven hundred sixteen thousand, eight hundred".