540132 has 48 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 161568.

The previous prime is 540121. The next prime is 540139. The reversal of 540132 is 231045.

540132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (540139) by changing a digit.

540132 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 15 ways as a sum of consecutive naturals, for example, 5193 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2⁵⁴⁰¹³² 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 540132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698880).

540132 is an abundant number, since it is smaller than the sum of its proper divisors (857628).

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

540132 is a wasteful number, since it uses less digits than its factorization.

540132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540132 is about 734.9367319709. The cubic root of 540132 is about 81.4391632003.

Adding to 540132 its reverse (231045), we get a palindrome (771177).

The spelling of 540132 in words is "five hundred forty thousand, one hundred thirty-two".