132724033704468 has 72 divisors (see below), whose sum is σ = 338470390957608. Its totient is φ = 43849241468928.

The previous prime is 132724033704439. The next prime is 132724033704469. The reversal of 132724033704468 is 864407330427231.

132724033704468 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 240 + 337 + 0 + 4 + 4 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152114040324 + 132571919664144 = 390018^2 + 11513988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132724033704469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389190046 + ... + 389530922.

It is an arithmetic number, because the mean of its divisors is an integer number (4700977652189).

Almost surely, 2^{132724033704468} is an apocalyptic number.

132724033704468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132724033704468 is an abundant number, since it is smaller than the sum of its proper divisors (205746357253140).

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

132724033704468 is a wasteful number, since it uses less digits than its factorization.

132724033704468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436713 (or 436708 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 132724033704468 in words is "one hundred thirty-two trillion, seven hundred twenty-four billion, thirty-three million, seven hundred four thousand, four hundred sixty-eight".