132807832819200 has 4320 divisors, whose sum is σ = 619755241000896. Its totient is φ = 26568622080000.

The previous prime is 132807832819063. The next prime is 132807832819217. The reversal of 132807832819200 is 2918238708231.

132807832819200 is a `hidden beast` number, since 1 + 3 + 2 + 80 + 7 + 83 + 281 + 9 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 315458034990 + ... + 315458035410.

Almost surely, 2^{132807832819200} is an apocalyptic number.

132807832819200 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 132807832819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309877620500448).

132807832819200 is an abundant number, since it is smaller than the sum of its proper divisors (486947408181696).

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

132807832819200 is a wasteful number, since it uses less digits than its factorization.

132807832819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 132807832819200 in words is "one hundred thirty-two trillion, eight hundred seven billion, eight hundred thirty-two million, eight hundred nineteen thousand, two hundred".