132261880320 has 800 divisors, whose sum is σ = 497096683776. Its totient is φ = 33575731200.

The previous prime is 132261880307. The next prime is 132261880321. The reversal of 132261880320 is 23088162231.

132261880320 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 618 + 8 + 0 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132261880321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399582555 + ... + 399582885.

Almost surely, 2^132261880320 is an apocalyptic number.

132261880320 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 132261880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248548341888).

132261880320 is an abundant number, since it is smaller than the sum of its proper divisors (364834803456).

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

132261880320 is an equidigital number, since it uses as much as digits as its factorization.

132261880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 132261880320 in words is "one hundred thirty-two billion, two hundred sixty-one million, eight hundred eighty thousand, three hundred twenty".