132344100 has 162 divisors, whose sum is σ = 482712594. Its totient is φ = 30240000.

The previous prime is 132344089. The next prime is 132344111. The reversal of 132344100 is 1443231.

It is an interprime number because it is at equal distance from previous prime (132344089) and next prime (132344111).

It can be written as a sum of positive squares in 3 ways, for example, as 9400356 + 122943744 = 3066^2 + 11088^2 .

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42600 + ... + 45600.

Almost surely, 2^132344100 is an apocalyptic number.

132344100 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 132344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241356297).

132344100 is an abundant number, since it is smaller than the sum of its proper divisors (350368494).

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

132344100 is a wasteful number, since it uses less digits than its factorization.

132344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132344100 is about 11504.0905768340. The cubic root of 132344100 is about 509.6063860247.

Adding to 132344100 its reverse (1443231), we get a palindrome (133787331).

The spelling of 132344100 in words is "one hundred thirty-two million, three hundred forty-four thousand, one hundred".