132505034120 has 64 divisors (see below), whose sum is σ = 311248707840. Its totient is φ = 50673145600.

The previous prime is 132505034117. The next prime is 132505034197. The reversal of 132505034120 is 21430505231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132505034120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936085 + ... + 2003355.

It is an arithmetic number, because the mean of its divisors is an integer number (4863261060).

Almost surely, 2^132505034120 is an apocalyptic number.

132505034120 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 132505034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155624353920).

132505034120 is an abundant number, since it is smaller than the sum of its proper divisors (178743673720).

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

132505034120 is a wasteful number, since it uses less digits than its factorization.

132505034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69446 (or 69442 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 132505034120 its reverse (21430505231), we get a palindrome (153935539351).

The spelling of 132505034120 in words is "one hundred thirty-two billion, five hundred five million, thirty-four thousand, one hundred twenty".