132774240312 has 160 divisors (see below), whose sum is σ = 425208558720. Its totient is φ = 37918497600.

The previous prime is 132774240307. The next prime is 132774240323. The reversal of 132774240312 is 213042477231.

132774240312 is a `hidden beast` number, since 1 + 32 + 7 + 74 + 240 + 312 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 12927003 + ... + 12937269.

It is an arithmetic number, because the mean of its divisors is an integer number (2657553492).

Almost surely, 2^132774240312 is an apocalyptic number.

132774240312 is a gapful number since it is divisible by the number (12) 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 132774240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212604279360).

132774240312 is an abundant number, since it is smaller than the sum of its proper divisors (292434318408).

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

132774240312 is a wasteful number, since it uses less digits than its factorization.

132774240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 132774240312 in words is "one hundred thirty-two billion, seven hundred seventy-four million, two hundred forty thousand, three hundred twelve".