132776397600 has 1728 divisors, whose sum is σ = 585162547200. Its totient is φ = 26078976000.

The previous prime is 132776397529. The next prime is 132776397613. The reversal of 132776397600 is 6793677231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3087823179 + ... + 3087823221.

Almost surely, 2^132776397600 is an apocalyptic number.

132776397600 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 132776397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292581273600).

132776397600 is an abundant number, since it is smaller than the sum of its proper divisors (452386149600).

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

132776397600 is a wasteful number, since it uses less digits than its factorization.

132776397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 51.

The spelling of 132776397600 in words is "one hundred thirty-two billion, seven hundred seventy-six million, three hundred ninety-seven thousand, six hundred".