132025282560 has 728 divisors, whose sum is σ = 489895191360. Its totient is φ = 34111881216.

The previous prime is 132025282541. The next prime is 132025282591. The reversal of 132025282560 is 65282520231.

It is a happy number.

132025282560 is a `hidden beast` number, since 1 + 320 + 2 + 5 + 282 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 552406921 + ... + 552407159.

Almost surely, 2^132025282560 is an apocalyptic number.

132025282560 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 132025282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244947595680).

132025282560 is an abundant number, since it is smaller than the sum of its proper divisors (357869908800).

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

132025282560 is an frugal number, since it uses more digits than its factorization.

132025282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 132025282560 in words is "one hundred thirty-two billion, twenty-five million, two hundred eighty-two thousand, five hundred sixty".