132332613504 has 384 divisors, whose sum is σ = 449083054080. Its totient is φ = 33771479040.

The previous prime is 132332613499. The next prime is 132332613521. The reversal of 132332613504 is 405316233231.

132332613504 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14077734 + ... + 14087130.

It is an arithmetic number, because the mean of its divisors is an integer number (1169487120).

Almost surely, 2^132332613504 is an apocalyptic number.

132332613504 is a gapful number since it is divisible by the number (14) 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 132332613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224541527040).

132332613504 is an abundant number, since it is smaller than the sum of its proper divisors (316750440576).

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

132332613504 is a wasteful number, since it uses less digits than its factorization.

132332613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 132332613504 its reverse (405316233231), we get a palindrome (537648846735).

The spelling of 132332613504 in words is "one hundred thirty-two billion, three hundred thirty-two million, six hundred thirteen thousand, five hundred four".