132192 has 72 divisors (see below), whose sum is σ = 412776. Its totient is φ = 41472.

The previous prime is 132173. The next prime is 132199. The reversal of 132192 is 291231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132199) by changing a digit.

132192 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 11 ways as a sum of consecutive naturals, for example, 7768 + ... + 7784.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2¹³²¹⁹² is an apocalyptic number.

132192 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 132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

132192 is an abundant number, since it is smaller than the sum of its proper divisors (280584).

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

132192 is an equidigital number, since it uses as much as digits as its factorization.

132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

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

The square root of 132192 is about 363.5821777810. The cubic root of 132192 is about 50.9411084927.

It can be divided in two parts, 132 and 192, that added together give a square (324 = 18²).

The spelling of 132192 in words is "one hundred thirty-two thousand, one hundred ninety-two".