132768412382100 has 72 divisors (see below), whose sum is σ = 419065388911008. Its totient is φ = 32186281788800.

The previous prime is 132768412382093. The next prime is 132768412382117. The reversal of 132768412382100 is 1283214867231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132768412382100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20116422819 + ... + 20116429418.

It is an arithmetic number, because the mean of its divisors is an integer number (5820352623764).

Almost surely, 2^{132768412382100} is an apocalyptic number.

132768412382100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132768412382100 is an abundant number, since it is smaller than the sum of its proper divisors (286296976528908).

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

132768412382100 is a wasteful number, since it uses less digits than its factorization.

132768412382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40232852265 (or 40232852258 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 132768412382100 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, four hundred twelve million, three hundred eighty-two thousand, one hundred".