132727414400 has 96 divisors (see below), whose sum is σ = 374717995680. Its totient is φ = 45506534400.

The previous prime is 132727414367. The next prime is 132727414453. The reversal of 132727414400 is 4414727231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940266 + ... + 2985065.

It is an arithmetic number, because the mean of its divisors is an integer number (3903312455).

Almost surely, 2^132727414400 is an apocalyptic number.

132727414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132727414400 is an abundant number, since it is smaller than the sum of its proper divisors (241990581280).

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

132727414400 is an equidigital number, since it uses as much as digits as its factorization.

132727414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925362 (or 5925345 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 132727414400 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, four hundred fourteen thousand, four hundred".