132565413024000 has 4608 divisors, whose sum is σ = 585109215774720. Its totient is φ = 29198647296000.

The previous prime is 132565413023977. The next prime is 132565413024019. The reversal of 132565413024000 is 420314565231.

132565413024000 is a `hidden beast` number, since 1 + 3 + 2 + 565 + 41 + 30 + 24 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 511 ways as a sum of consecutive naturals, for example, 967630751932 + ... + 967630752068.

It is an arithmetic number, because the mean of its divisors is an integer number (126976826340).

Almost surely, 2^{132565413024000} is an apocalyptic number.

132565413024000 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 132565413024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292554607887360).

132565413024000 is an abundant number, since it is smaller than the sum of its proper divisors (452543802750720).

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

132565413024000 is a wasteful number, since it uses less digits than its factorization.

132565413024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132565413024000 its reverse (420314565231), we get a palindrome (132985727589231).

The spelling of 132565413024000 in words is "one hundred thirty-two trillion, five hundred sixty-five billion, four hundred thirteen million, twenty-four thousand".