132123300 has 72 divisors (see below), whose sum is σ = 392641536. Its totient is φ = 34277760.

The previous prime is 132123287. The next prime is 132123367. The reversal of 132123300 is 3321231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132123300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5149 + ... + 17051.

Almost surely, 2^132123300 is an apocalyptic number.

132123300 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 132123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320768).

132123300 is an abundant number, since it is smaller than the sum of its proper divisors (260518236).

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

132123300 is a wasteful number, since it uses less digits than its factorization.

132123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132123300 is about 11494.4899843360. The cubic root of 132123300 is about 509.3228228889.

Adding to 132123300 its reverse (3321231), we get a palindrome (135444531).

The spelling of 132123300 in words is "one hundred thirty-two million, one hundred twenty-three thousand, three hundred".