132009200 has 60 divisors (see below), whose sum is σ = 318329328. Its totient is φ = 52608000.

The previous prime is 132009197. The next prime is 132009203. The reversal of 132009200 is 2900231.

132009200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132009197) and next prime (132009203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132009203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159989 + ... + 160811.

Almost surely, 2^132009200 is an apocalyptic number.

132009200 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 132009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159164664).

132009200 is an abundant number, since it is smaller than the sum of its proper divisors (186320128).

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

132009200 is a wasteful number, since it uses less digits than its factorization.

132009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 132009200 is about 11489.5256647087. The cubic root of 132009200 is about 509.1761657616.

Adding to 132009200 its reverse (2900231), we get a palindrome (134909431).

The spelling of 132009200 in words is "one hundred thirty-two million, nine thousand, two hundred".