132124664221056 has 768 divisors, whose sum is σ = 425444821401600. Its totient is φ = 39097538887680.

The previous prime is 132124664221021. The next prime is 132124664221073. The reversal of 132124664221056 is 650122466421231.

It is a happy number.

132124664221056 is a `hidden beast` number, since 1 + 3 + 212 + 4 + 6 + 6 + 422 + 1 + 0 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19484536386 + ... + 19484543166.

It is an arithmetic number, because the mean of its divisors is an integer number (553964611200).

Almost surely, 2^{132124664221056} is an apocalyptic number.

132124664221056 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 132124664221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212722410700800).

132124664221056 is an abundant number, since it is smaller than the sum of its proper divisors (293320157180544).

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

132124664221056 is a wasteful number, since it uses less digits than its factorization.

132124664221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 132124664221056 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, six hundred sixty-four million, two hundred twenty-one thousand, fifty-six".