132111324 has 72 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 43751664.

The previous prime is 132111319. The next prime is 132111341. The reversal of 132111324 is 423111231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132111297 and 132111306.

It is a congruent number.

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, 193087 + ... + 193769.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2^132111324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132111324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

132111324 is an abundant number, since it is smaller than the sum of its proper divisors (216455076).

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

132111324 is a wasteful number, since it uses less digits than its factorization.

132111324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 887 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132111324 is about 11493.9690272769. The cubic root of 132111324 is about 509.3074336416.

Adding to 132111324 its reverse (423111231), we get a palindrome (555222555).

It can be divided in two parts, 13211 and 1324, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 132111324 in words is "one hundred thirty-two million, one hundred eleven thousand, three hundred twenty-four".