132219504400 has 45 divisors (see below), whose sum is σ = 317674832223. Its totient is φ = 52884892800.

The previous prime is 132219504397. The next prime is 132219504449. The reversal of 132219504400 is 4405912231.

The square root of 132219504400 is 363620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22037996304 + 110181508096 = 148452^2 + 331936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7263310 + ... + 7281490.

Almost surely, 2^132219504400 is an apocalyptic number.

132219504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132219504400 is the 363620-th square number.

It is an amenable number.

132219504400 is an abundant number, since it is smaller than the sum of its proper divisors (185455327823).

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

132219504400 is an frugal number, since it uses more digits than its factorization.

132219504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36380 (or 18188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 132219504400 in words is "one hundred thirty-two billion, two hundred nineteen million, five hundred four thousand, four hundred".