132830600 has 96 divisors (see below), whose sum is σ = 357715200. Its totient is φ = 44928000.

The previous prime is 132830597. The next prime is 132830603. The reversal of 132830600 is 6038231.

It is an interprime number because it is at equal distance from previous prime (132830597) and next prime (132830603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132830603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110000 + ... + 111200.

It is an arithmetic number, because the mean of its divisors is an integer number (3726200).

Almost surely, 2^132830600 is an apocalyptic number.

132830600 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 132830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178857600).

132830600 is an abundant number, since it is smaller than the sum of its proper divisors (224884600).

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

132830600 is a wasteful number, since it uses less digits than its factorization.

132830600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 132830600 is about 11525.2158331200. The cubic root of 132830600 is about 510.2300640852.

Adding to 132830600 its reverse (6038231), we get a palindrome (138868831).

The spelling of 132830600 in words is "one hundred thirty-two million, eight hundred thirty thousand, six hundred".