132248825517600 has 720 divisors, whose sum is σ = 528774346900800. Its totient is φ = 31899179980800.

The previous prime is 132248825517577. The next prime is 132248825517617. The reversal of 132248825517600 is 6715528842231.

It is a happy number.

132248825517600 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 8 + 8 + 25 + 5 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141381034 + ... + 142313366.

It is an arithmetic number, because the mean of its divisors is an integer number (734408815140).

Almost surely, 2^{132248825517600} is an apocalyptic number.

132248825517600 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 132248825517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264387173450400).

132248825517600 is an abundant number, since it is smaller than the sum of its proper divisors (396525521383200).

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

132248825517600 is a wasteful number, since it uses less digits than its factorization.

132248825517600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932575 (or 932553 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 132248825517600 in words is "one hundred thirty-two trillion, two hundred forty-eight billion, eight hundred twenty-five million, five hundred seventeen thousand, six hundred".