132581459404800 has 2016 divisors, whose sum is σ = 576413356559040. Its totient is φ = 29597073408000.

The previous prime is 132581459404763. The next prime is 132581459404817. The reversal of 132581459404800 is 8404954185231.

132581459404800 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 8 + 1 + 4 + 594 + 0 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 11234758900 + ... + 11234770700.

It is an arithmetic number, because the mean of its divisors is an integer number (285919323690).

Almost surely, 2^{132581459404800} is an apocalyptic number.

132581459404800 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 132581459404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288206678279520).

132581459404800 is an abundant number, since it is smaller than the sum of its proper divisors (443831897154240).

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

132581459404800 is an equidigital number, since it uses as much as digits as its factorization.

132581459404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 132581459404800 in words is "one hundred thirty-two trillion, five hundred eighty-one billion, four hundred fifty-nine million, four hundred four thousand, eight hundred".