42132168 has 48 divisors (see below), whose sum is σ = 122888220. Its totient is φ = 12963456.

The previous prime is 42132161. The next prime is 42132187. The reversal of 42132168 is 86123124.

It can be written as a sum of positive squares in 2 ways, for example, as 32285124 + 9847044 = 5682^2 + 3138^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42132161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21571 + ... + 23442.

Almost surely, 2^42132168 is an apocalyptic number.

It is an amenable number.

42132168 is an abundant number, since it is smaller than the sum of its proper divisors (80756052).

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

42132168 is a wasteful number, since it uses less digits than its factorization.

42132168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45038 (or 45031 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42132168 is about 6490.9296714723. The cubic root of 42132168 is about 347.9669013308.

The spelling of 42132168 in words is "forty-two million, one hundred thirty-two thousand, one hundred sixty-eight".