132252667812864 has 880 divisors, whose sum is σ = 413990313327360. Its totient is φ = 42016209960960.

The previous prime is 132252667812809. The next prime is 132252667812911. The reversal of 132252667812864 is 468218766252231.

132252667812864 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 526 + 6 + 7 + 81 + 28 + 6 + 4 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 33507134539 + ... + 33507138485.

It is an arithmetic number, because the mean of its divisors is an integer number (470443537872).

Almost surely, 2^{132252667812864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132252667812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206995156663680).

132252667812864 is an abundant number, since it is smaller than the sum of its proper divisors (281737645514496).

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

132252667812864 is a wasteful number, since it uses less digits than its factorization.

132252667812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4219 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 132252667812864 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, six hundred sixty-seven million, eight hundred twelve thousand, eight hundred sixty-four".