132805200808512 has 280 divisors, whose sum is σ = 408802483299672. Its totient is φ = 42597052416000.

The previous prime is 132805200808403. The next prime is 132805200808531. The reversal of 132805200808512 is 215808002508231.

132805200808512 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 0 + 52 + 0 + 0 + 80 + 8 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3321375031296 + 129483825777216 = 1822464^2 + 11379096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11236012 + ... + 19795412.

Almost surely, 2^{132805200808512} is an apocalyptic number.

132805200808512 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 132805200808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204401241649836).

132805200808512 is an abundant number, since it is smaller than the sum of its proper divisors (275997282491160).

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

132805200808512 is an equidigital number, since it uses as much as digits as its factorization.

132805200808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8559539 (or 8559520 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 132805200808512 in words is "one hundred thirty-two trillion, eight hundred five billion, two hundred million, eight hundred eight thousand, five hundred twelve".