132882182460720 has 2560 divisors, whose sum is σ = 622288628121600. Its totient is φ = 25548168683520.

The previous prime is 132882182460673. The next prime is 132882182460721. The reversal of 132882182460720 is 27064281288231.

It is a happy number.

132882182460720 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 8 + 2 + 1 + 8 + 2 + 4 + 607 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132882182460721) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11006552604 + ... + 11006564676.

It is an arithmetic number, because the mean of its divisors is an integer number (243081495360).

Almost surely, 2^{132882182460720} is an apocalyptic number.

132882182460720 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 132882182460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311144314060800).

132882182460720 is an abundant number, since it is smaller than the sum of its proper divisors (489406445660880).

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

132882182460720 is a wasteful number, since it uses less digits than its factorization.

132882182460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 132882182460720 in words is "one hundred thirty-two trillion, eight hundred eighty-two billion, one hundred eighty-two million, four hundred sixty thousand, seven hundred twenty".