132591352800 has 288 divisors, whose sum is σ = 437084024832. Its totient is φ = 34910023680.

The previous prime is 132591352783. The next prime is 132591352801. The reversal of 132591352800 is 8253195231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132591352801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71017467 + ... + 71019333.

It is an arithmetic number, because the mean of its divisors is an integer number (1517652864).

Almost surely, 2^132591352800 is an apocalyptic number.

132591352800 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 132591352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218542012416).

132591352800 is an abundant number, since it is smaller than the sum of its proper divisors (304492672032).

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

132591352800 is a wasteful number, since it uses less digits than its factorization.

132591352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 132591352800 in words is "one hundred thirty-two billion, five hundred ninety-one million, three hundred fifty-two thousand, eight hundred".