132368200 has 48 divisors (see below), whose sum is σ = 310532580. Its totient is φ = 52469760.

The previous prime is 132368179. The next prime is 132368207. The reversal of 132368200 is 2863231.

It can be written as a sum of positive squares in 6 ways, for example, as 41242084 + 91126116 = 6422^2 + 9546^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132368207) 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, 19672 + ... + 25528.

Almost surely, 2^132368200 is an apocalyptic number.

132368200 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 132368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155266290).

132368200 is an abundant number, since it is smaller than the sum of its proper divisors (178164380).

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

132368200 is a wasteful number, since it uses less digits than its factorization.

132368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 132368200 is about 11505.1379826580. The cubic root of 132368200 is about 509.6373174338.

The spelling of 132368200 in words is "one hundred thirty-two million, three hundred sixty-eight thousand, two hundred".