132156748800 has 1320 divisors, whose sum is σ = 543991985856. Its totient is φ = 31531991040.

The previous prime is 132156748781. The next prime is 132156748813. The reversal of 132156748800 is 8847651231.

132156748800 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 567 + 4 + 8 + 80 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 810777519 + ... + 810777681.

Almost surely, 2^132156748800 is an apocalyptic number.

132156748800 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 132156748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271995992928).

132156748800 is an abundant number, since it is smaller than the sum of its proper divisors (411835237056).

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

132156748800 is a wasteful number, since it uses less digits than its factorization.

132156748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 132156748800 in words is "one hundred thirty-two billion, one hundred fifty-six million, seven hundred forty-eight thousand, eight hundred".