132288814944 has 288 divisors, whose sum is σ = 443446907904. Its totient is φ = 36879805440.

The previous prime is 132288814921. The next prime is 132288814979. The reversal of 132288814944 is 449418882231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12638257 + ... + 12648719.

It is an arithmetic number, because the mean of its divisors is an integer number (1539746208).

Almost surely, 2^132288814944 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 132288814944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221723453952).

132288814944 is an abundant number, since it is smaller than the sum of its proper divisors (311158092960).

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

132288814944 is a wasteful number, since it uses less digits than its factorization.

132288814944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10799 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 132288814944 in words is "one hundred thirty-two billion, two hundred eighty-eight million, eight hundred fourteen thousand, nine hundred forty-four".