132991372800 has 2160 divisors, whose sum is σ = 608390310528. Its totient is φ = 28466380800.

The previous prime is 132991372769. The next prime is 132991372883. The reversal of 132991372800 is 8273199231.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5782233589 + ... + 5782233611.

Almost surely, 2^132991372800 is an apocalyptic number.

132991372800 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 132991372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304195155264).

132991372800 is an abundant number, since it is smaller than the sum of its proper divisors (475398937728).

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

132991372800 is a wasteful number, since it uses less digits than its factorization.

132991372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 132991372800 in words is "one hundred thirty-two billion, nine hundred ninety-one million, three hundred seventy-two thousand, eight hundred".