132882748416 has 396 divisors, whose sum is σ = 441889066944. Its totient is φ = 38137651200.

The previous prime is 132882748409. The next prime is 132882748441. The reversal of 132882748416 is 614847288231.

132882748416 is a `hidden beast` number, since 1 + 3 + 288 + 274 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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 35 ways as a sum of consecutive naturals, for example, 36594921 + ... + 36598551.

Almost surely, 2^132882748416 is an apocalyptic number.

132882748416 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 132882748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220944533472).

132882748416 is an abundant number, since it is smaller than the sum of its proper divisors (309006318528).

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

132882748416 is a wasteful number, since it uses less digits than its factorization.

132882748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3666 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 132882748416 in words is "one hundred thirty-two billion, eight hundred eighty-two million, seven hundred forty-eight thousand, four hundred sixteen".