45126 has 24 divisors (see below), whose sum is σ = 102960. Its totient is φ = 14256.

The previous prime is 45121. The next prime is 45127. The reversal of 45126 is 62154.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 45099 and 45108.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45126.

It is not an unprimeable number, because it can be changed into a prime (45121) by changing a digit.

45126 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, 360 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2⁴⁵¹²⁶ is an apocalyptic number.

45126 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480).

45126 is an abundant number, since it is smaller than the sum of its proper divisors (57834).

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

45126 is a wasteful number, since it uses less digits than its factorization.

45126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

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

The square root of 45126 is about 212.4288116052. The cubic root of 45126 is about 35.6020997794.

It can be divided in two parts, 4512 and 6, that multiplied together give a palindrome (27072).

The spelling of 45126 in words is "forty-five thousand, one hundred twenty-six".