54132 has 24 divisors (see below), whose sum is σ = 136416. Its totient is φ = 16608.

The previous prime is 54121. The next prime is 54133. The reversal of 54132 is 23145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54133) by changing a digit.

54132 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 7 ways as a sum of consecutive naturals, for example, 18 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (5684).

2⁵⁴¹³² is an apocalyptic number.

54132 is a gapful number since it is divisible by the number (52) 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 54132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208).

54132 is an abundant number, since it is smaller than the sum of its proper divisors (82284).

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

54132 is a wasteful number, since it uses less digits than its factorization.

54132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

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

The square root of 54132 is about 232.6628461959. The cubic root of 54132 is about 37.8284045063.

Adding to 54132 its reverse (23145), we get a palindrome (77277).

The spelling of 54132 in words is "fifty-four thousand, one hundred thirty-two".