18126 has 24 divisors (see below), whose sum is σ = 42120. Its totient is φ = 5616.

The previous prime is 18121. The next prime is 18127. The reversal of 18126 is 62181.

18126 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

18126 is a Rhonda number in base 15.

It is a plaindrome in base 11 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 18099 and 18108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2¹⁸¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060).

18126 is an abundant number, since it is smaller than the sum of its proper divisors (23994).

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

18126 is a wasteful number, since it uses less digits than its factorization.

18126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 18126 is about 134.6328340339. The cubic root of 18126 is about 26.2684224421.

It can be divided in two parts, 18 and 126, that added together give a square (144 = 12²).

The spelling of 18126 in words is "eighteen thousand, one hundred twenty-six".