133388812800 has 960 divisors, whose sum is σ = 519139272960. Its totient is φ = 33478410240.

The previous prime is 133388812747. The next prime is 133388812807. The reversal of 133388812800 is 8218883331.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133388812807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771033514 + ... + 771033686.

It is an arithmetic number, because the mean of its divisors is an integer number (540770076).

Almost surely, 2^133388812800 is an apocalyptic number.

133388812800 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 133388812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259569636480).

133388812800 is an abundant number, since it is smaller than the sum of its proper divisors (385750460160).

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

133388812800 is a wasteful number, since it uses less digits than its factorization.

133388812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 133388812800 in words is "one hundred thirty-three billion, three hundred eighty-eight million, eight hundred twelve thousand, eight hundred".