132400 has 30 divisors (see below), whose sum is σ = 319052. Its totient is φ = 52800.

The previous prime is 132383. The next prime is 132403. The reversal of 132400 is 4231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (132403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235 + ... + 565.

2¹³²⁴⁰⁰ is an apocalyptic number.

132400 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 132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159526).

132400 is an abundant number, since it is smaller than the sum of its proper divisors (186652).

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

132400 is a wasteful number, since it uses less digits than its factorization.

132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132400 is about 363.8681079732. The cubic root of 132400 is about 50.9678125747.

Adding to 132400 its reverse (4231), we get a palindrome (136631).

The spelling of 132400 in words is "one hundred thirty-two thousand, four hundred".