54126 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 17280.

The previous prime is 54121. The next prime is 54133. The reversal of 54126 is 62145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 54099 and 54108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54121) by changing a digit.

54126 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, 510 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2⁵⁴¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

54126 is an abundant number, since it is smaller than the sum of its proper divisors (68178).

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

54126 is a wasteful number, since it uses less digits than its factorization.

54126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 54126 is about 232.6499516441. The cubic root of 54126 is about 37.8270068190.

The spelling of 54126 in words is "fifty-four thousand, one hundred twenty-six".