132657384431616 has 2688 divisors, whose sum is σ = 457849121587200. Its totient is φ = 33914408140800.

The previous prime is 132657384431599. The next prime is 132657384431707. The reversal of 132657384431616 is 616134483756231.

It is a self number, because there is not a number n which added to its sum of digits gives 132657384431616.

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 191 ways as a sum of consecutive naturals, for example, 1490532409300 + ... + 1490532409388.

It is an arithmetic number, because the mean of its divisors is an integer number (170330774400).

Almost surely, 2^{132657384431616} is an apocalyptic number.

132657384431616 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 132657384431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228924560793600).

132657384431616 is an abundant number, since it is smaller than the sum of its proper divisors (325191737155584).

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

132657384431616 is a wasteful number, since it uses less digits than its factorization.

132657384431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 132657384431616 in words is "one hundred thirty-two trillion, six hundred fifty-seven billion, three hundred eighty-four million, four hundred thirty-one thousand, six hundred sixteen".