132305200 has 120 divisors (see below), whose sum is σ = 337933728. Its totient is φ = 49674240.

The previous prime is 132305191. The next prime is 132305207. The reversal of 132305200 is 2503231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132305207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 671502 + ... + 671698.

Almost surely, 2^132305200 is an apocalyptic number.

132305200 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 132305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168966864).

132305200 is an abundant number, since it is smaller than the sum of its proper divisors (205628528).

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

132305200 is a wasteful number, since it uses less digits than its factorization.

132305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 132305200 is about 11502.3997496175. The cubic root of 132305200 is about 509.5564514703.

Adding to 132305200 its reverse (2503231), we get a palindrome (134808431).

The spelling of 132305200 in words is "one hundred thirty-two million, three hundred five thousand, two hundred".