132517267712 has 72 divisors (see below), whose sum is σ = 272681148600. Its totient is φ = 64226967552.

The previous prime is 132517267709. The next prime is 132517267733. The reversal of 132517267712 is 217762715231.

It can be written as a sum of positive squares in 4 ways, for example, as 58672466176 + 73844801536 = 242224^2 + 271744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2521964 + ... + 2573972.

It is an arithmetic number, because the mean of its divisors is an integer number (3787238175).

Almost surely, 2^132517267712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132517267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136340574300).

132517267712 is an abundant number, since it is smaller than the sum of its proper divisors (140163880888).

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

132517267712 is an equidigital number, since it uses as much as digits as its factorization.

132517267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52331 (or 52317 counting only the distinct ones).

The product of its digits is 246960, while the sum is 44.

The spelling of 132517267712 in words is "one hundred thirty-two billion, five hundred seventeen million, two hundred sixty-seven thousand, seven hundred twelve".