132824192256 has 144 divisors (see below), whose sum is σ = 448896739200. Its totient is φ = 37949755392.

The previous prime is 132824192233. The next prime is 132824192279. The reversal of 132824192256 is 652291428231.

132824192256 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 2 + 419 + 225 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (132824192233) and next prime (132824192279).

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 1324221 + ... + 1420988.

Almost surely, 2^132824192256 is an apocalyptic number.

132824192256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132824192256 is an abundant number, since it is smaller than the sum of its proper divisors (316072546944).

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

132824192256 is an equidigital number, since it uses as much as digits as its factorization.

132824192256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745241 (or 2745221 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 132824192256 in words is "one hundred thirty-two billion, eight hundred twenty-four million, one hundred ninety-two thousand, two hundred fifty-six".