132597543424896 has 256 divisors, whose sum is σ = 427158319564800. Its totient is φ = 40159011594240.

The previous prime is 132597543424889. The next prime is 132597543424919. The reversal of 132597543424896 is 698424345795231.

132597543424896 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 9 + 75 + 43 + 424 + 8 + 96 = 666.

It is a super-2 number, since 2×132597543424896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68346520 + ... + 70259816.

It is an arithmetic number, because the mean of its divisors is an integer number (1668587185800).

Almost surely, 2^{132597543424896} is an apocalyptic number.

132597543424896 is a gapful number since it is divisible by the number (16) 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 132597543424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213579159782400).

132597543424896 is an abundant number, since it is smaller than the sum of its proper divisors (294560776139904).

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

132597543424896 is a wasteful number, since it uses less digits than its factorization.

132597543424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915154 (or 1915136 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 132597543424896 in words is "one hundred thirty-two trillion, five hundred ninety-seven billion, five hundred forty-three million, four hundred twenty-four thousand, eight hundred ninety-six".