132321141812916 has 384 divisors, whose sum is σ = 406360571904000. Its totient is φ = 36453735013248.

The previous prime is 132321141812903. The next prime is 132321141812941. The reversal of 132321141812916 is 619218141123231.

132321141812916 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 211 + 418 + 1 + 2 + 9 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058684515 + ... + 1058809493.

It is an arithmetic number, because the mean of its divisors is an integer number (1058230656000).

Almost surely, 2^{132321141812916} 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 132321141812916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203180285952000).

132321141812916 is an abundant number, since it is smaller than the sum of its proper divisors (274039430091084).

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

132321141812916 is a wasteful number, since it uses less digits than its factorization.

132321141812916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125488 (or 125480 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 132321141812916 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred forty-one million, eight hundred twelve thousand, nine hundred sixteen".