132184882368 has 1120 divisors, whose sum is σ = 532853798400. Its totient is φ = 31352832000.

The previous prime is 132184882351. The next prime is 132184882373. The reversal of 132184882368 is 863288481231.

132184882368 is a `hidden beast` number, since 1 + 321 + 8 + 4 + 88 + 236 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 219941268 + ... + 219941868.

It is an arithmetic number, because the mean of its divisors is an integer number (475762320).

Almost surely, 2^132184882368 is an apocalyptic number.

132184882368 is a gapful number since it is divisible by the number (18) 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 132184882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266426899200).

132184882368 is an abundant number, since it is smaller than the sum of its proper divisors (400668916032).

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

132184882368 is a wasteful number, since it uses less digits than its factorization.

132184882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 672 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 132184882368 in words is "one hundred thirty-two billion, one hundred eighty-four million, eight hundred eighty-two thousand, three hundred sixty-eight".