132084827280 has 1280 divisors, whose sum is σ = 562249728000. Its totient is φ = 28805414400.

The previous prime is 132084827279. The next prime is 132084827297. The reversal of 132084827280 is 82728480231.

132084827280 is a `hidden beast` number, since 1 + 3 + 20 + 8 + 482 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1860349645 + ... + 1860349715.

It is an arithmetic number, because the mean of its divisors is an integer number (439257600).

Almost surely, 2^132084827280 is an apocalyptic number.

132084827280 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 132084827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281124864000).

132084827280 is an abundant number, since it is smaller than the sum of its proper divisors (430164900720).

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

132084827280 is an frugal number, since it uses more digits than its factorization.

132084827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 132084827280 in words is "one hundred thirty-two billion, eighty-four million, eight hundred twenty-seven thousand, two hundred eighty".