132080025600 has 540 divisors, whose sum is σ = 491018475584. Its totient is φ = 35194798080.

The previous prime is 132080025563. The next prime is 132080025611. The reversal of 132080025600 is 6520080231.

132080025600 is a `hidden beast` number, since 1 + 3 + 20 + 80 + 0 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532137 + ... + 99533463.

Almost surely, 2^132080025600 is an apocalyptic number.

132080025600 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 132080025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245509237792).

132080025600 is an abundant number, since it is smaller than the sum of its proper divisors (358938449984).

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

132080025600 is an frugal number, since it uses more digits than its factorization.

132080025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 132080025600 in words is "one hundred thirty-two billion, eighty million, twenty-five thousand, six hundred".