192132 has 30 divisors (see below), whose sum is σ = 503118. Its totient is φ = 63936.

The previous prime is 192121. The next prime is 192133. The reversal of 192132 is 231291.

It is a happy number.

192132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 20736 = 414^2 + 144^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (192133) by changing a digit.

192132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28 + ... + 620.

2¹⁹²¹³² is an apocalyptic number.

192132 is a gapful number since it is divisible by the number (12) 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 192132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251559).

192132 is an abundant number, since it is smaller than the sum of its proper divisors (310986).

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

192132 is a wasteful number, since it uses less digits than its factorization.

192132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 192132 is about 438.3286438279. The cubic root of 192132 is about 57.7032004048.

It can be divided in two parts, 1921 and 32, that added together give a triangular number (1953 = T₆₂).

The spelling of 192132 in words is "one hundred ninety-two thousand, one hundred thirty-two".