132233100 has 72 divisors (see below), whose sum is σ = 383933760. Its totient is φ = 35138880.

The previous prime is 132233083. The next prime is 132233113. The reversal of 132233100 is 1332231.

It is a super-2 number, since 2×132233100² = 34971185471220000, which contains 22 as substring.

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 132233100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113119 + ... + 114281.

Almost surely, 2^132233100 is an apocalyptic number.

132233100 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 132233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191966880).

132233100 is an abundant number, since it is smaller than the sum of its proper divisors (251700660).

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

132233100 is a wasteful number, since it uses less digits than its factorization.

132233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1552 counting only the distinct ones).

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

The square root of 132233100 is about 11499.2651939157. The cubic root of 132233100 is about 509.4638733609.

Adding to 132233100 its reverse (1332231), we get a palindrome (133565331).

The spelling of 132233100 in words is "one hundred thirty-two million, two hundred thirty-three thousand, one hundred".