132303129312 has 96 divisors (see below), whose sum is σ = 350162676864. Its totient is φ = 43737408000.

The previous prime is 132303129307. The next prime is 132303129359. The reversal of 132303129312 is 213921303231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 132303129312.

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 15 ways as a sum of consecutive naturals, for example, 40078062 + ... + 40081362.

It is an arithmetic number, because the mean of its divisors is an integer number (3647527884).

Almost surely, 2^132303129312 is an apocalyptic number.

132303129312 is a gapful number since it is divisible by the number (12) 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 132303129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175081338432).

132303129312 is an abundant number, since it is smaller than the sum of its proper divisors (217859547552).

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

132303129312 is a wasteful number, since it uses less digits than its factorization.

132303129312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 132303129312 in words is "one hundred thirty-two billion, three hundred three million, one hundred twenty-nine thousand, three hundred twelve".