132791788800 has 1620 divisors, whose sum is σ = 565942852860. Its totient is φ = 30656102400.

The previous prime is 132791788763. The next prime is 132791788807. The reversal of 132791788800 is 8887197231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1214383104 + 131577405696 = 34848^2 + 362736^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132791788807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1819065564 + ... + 1819065636.

Almost surely, 2^132791788800 is an apocalyptic number.

132791788800 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 132791788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282971426430).

132791788800 is an abundant number, since it is smaller than the sum of its proper divisors (433151064060).

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

132791788800 is a wasteful number, since it uses less digits than its factorization.

132791788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 132791788800 in words is "one hundred thirty-two billion, seven hundred ninety-one million, seven hundred eighty-eight thousand, eight hundred".