132301600 has 72 divisors (see below), whose sum is σ = 328572720. Its totient is φ = 52005120.

The previous prime is 132301597. The next prime is 132301607. The reversal of 132301600 is 6103231.

132301600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (132301607) 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, 45799 + ... + 48601.

It is an arithmetic number, because the mean of its divisors is an integer number (4563510).

Almost surely, 2^132301600 is an apocalyptic number.

132301600 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 132301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164286360).

132301600 is an abundant number, since it is smaller than the sum of its proper divisors (196271120).

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

132301600 is a wasteful number, since it uses less digits than its factorization.

132301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132301600 is about 11502.2432594690. The cubic root of 132301600 is about 509.5518297828.

Adding to 132301600 its reverse (6103231), we get a palindrome (138404831).

The spelling of 132301600 in words is "one hundred thirty-two million, three hundred one thousand, six hundred".