132613252800 has 672 divisors, whose sum is σ = 522638072832. Its totient is φ = 28782673920.

The previous prime is 132613252787. The next prime is 132613252801. The reversal of 132613252800 is 8252316231.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (132613252801) 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, 121329054 + ... + 121330146.

Almost surely, 2^132613252800 is an apocalyptic number.

132613252800 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 132613252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261319036416).

132613252800 is an abundant number, since it is smaller than the sum of its proper divisors (390024820032).

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

132613252800 is a wasteful number, since it uses less digits than its factorization.

132613252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 132613252800 in words is "one hundred thirty-two billion, six hundred thirteen million, two hundred fifty-two thousand, eight hundred".