132505313024 has 72 divisors (see below), whose sum is σ = 302473556448. Its totient is φ = 56751206400.

The previous prime is 132505312999. The next prime is 132505313027. The reversal of 132505313024 is 420313505231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132505313027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2838674 + ... + 2884974.

Almost surely, 2^132505313024 is an apocalyptic number.

132505313024 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 132505313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151236778224).

132505313024 is an abundant number, since it is smaller than the sum of its proper divisors (169968243424).

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

132505313024 is an equidigital number, since it uses as much as digits as its factorization.

132505313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47921 (or 47907 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 132505313024 its reverse (420313505231), we get a palindrome (552818818255).

The spelling of 132505313024 in words is "one hundred thirty-two billion, five hundred five million, three hundred thirteen thousand, twenty-four".