132442400 has 36 divisors (see below), whose sum is σ = 323326962. Its totient is φ = 52976640.

The previous prime is 132442363. The next prime is 132442417. The reversal of 132442400 is 4244231.

It can be written as a sum of positive squares in 3 ways, for example, as 72658576 + 59783824 = 8524^2 + 7732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81977 + ... + 83576.

Almost surely, 2^132442400 is an apocalyptic number.

132442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132442400 is an abundant number, since it is smaller than the sum of its proper divisors (190884562).

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

132442400 is a wasteful number, since it uses less digits than its factorization.

132442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165573 (or 165560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 132442400 is about 11508.3621771302. The cubic root of 132442400 is about 509.7325266691.

Adding to 132442400 its reverse (4244231), we get a palindrome (136686631).

The spelling of 132442400 in words is "one hundred thirty-two million, four hundred forty-two thousand, four hundred".