132784122348416 has 384 divisors, whose sum is σ = 342479161516800. Its totient is φ = 50167178772480.

The previous prime is 132784122348413. The next prime is 132784122348433. The reversal of 132784122348416 is 614843221487231.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132784122348413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647899976 + ... + 648104888.

It is an arithmetic number, because the mean of its divisors is an integer number (891872816450).

Almost surely, 2^{132784122348416} is an apocalyptic number.

132784122348416 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 132784122348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171239580758400).

132784122348416 is an abundant number, since it is smaller than the sum of its proper divisors (209695039168384).

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

132784122348416 is a wasteful number, since it uses less digits than its factorization.

132784122348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205138 (or 205115 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 56.

The spelling of 132784122348416 in words is "one hundred thirty-two trillion, seven hundred eighty-four billion, one hundred twenty-two million, three hundred forty-eight thousand, four hundred sixteen".