32142132 has 72 divisors (see below), whose sum is σ = 92514240. Its totient is φ = 9313920.

The previous prime is 32142107. The next prime is 32142151. The reversal of 32142132 is 23124123.

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 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, 7344 + ... + 10872.

It is an arithmetic number, because the mean of its divisors is an integer number (1284920).

Almost surely, 2^32142132 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 32142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46257120).

32142132 is an abundant number, since it is smaller than the sum of its proper divisors (60372108).

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

32142132 is a wasteful number, since it uses less digits than its factorization.

32142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3568 counting only the distinct ones).

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

The square root of 32142132 is about 5669.4031431889. The cubic root of 32142132 is about 317.9495588679.

Adding to 32142132 its reverse (23124123), we get a palindrome (55266255).

Subtracting from 32142132 its reverse (23124123), we obtain a square (9018009 = 3003²).

The spelling of 32142132 in words is "thirty-two million, one hundred forty-two thousand, one hundred thirty-two".