132150414400 has 42 divisors (see below), whose sum is σ = 325172617370. Its totient is φ = 52860165120.

The previous prime is 132150414397. The next prime is 132150414401. The reversal of 132150414400 is 4414051231.

It can be written as a sum of positive squares in 3 ways, for example, as 73410624 + 132077003776 = 8568^2 + 363424^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132150414401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41295405 + ... + 41298604.

Almost surely, 2^132150414400 is an apocalyptic number.

132150414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150414400 is an abundant number, since it is smaller than the sum of its proper divisors (193022202970).

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

132150414400 is an equidigital number, since it uses as much as digits as its factorization.

132150414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82594031 (or 82594016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 132150414400 its reverse (4414051231), we get a palindrome (136564465631).

The spelling of 132150414400 in words is "one hundred thirty-two billion, one hundred fifty million, four hundred fourteen thousand, four hundred".