132312420240 has 640 divisors, whose sum is σ = 553116598272. Its totient is φ = 25268060160.

The previous prime is 132312420239. The next prime is 132312420257. The reversal of 132312420240 is 42024213231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132312420240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61740609 + ... + 61742751.

Almost surely, 2^132312420240 is an apocalyptic number.

132312420240 is a gapful number since it is divisible by the number (10) 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 132312420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276558299136).

132312420240 is an abundant number, since it is smaller than the sum of its proper divisors (420804178032).

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

132312420240 is a wasteful number, since it uses less digits than its factorization.

132312420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132312420240 its reverse (42024213231), we get a palindrome (174336633471).

The spelling of 132312420240 in words is "one hundred thirty-two billion, three hundred twelve million, four hundred twenty thousand, two hundred forty".