126126 has 72 divisors (see below), whose sum is σ = 373464. Its totient is φ = 30240.

The previous prime is 126107. The next prime is 126127. The reversal of 126126 is 621621.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (144) is a multiple of the sum of its prime divisors (36).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126099 and 126108.

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 126126.

It is not an unprimeable number, because it can be changed into a prime (126127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9696 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2¹²⁶¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

126126 is an abundant number, since it is smaller than the sum of its proper divisors (247338).

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

126126 is a wasteful number, since it uses less digits than its factorization.

126126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 126126 is about 355.1422250310. The cubic root of 126126 is about 50.1496847755.

126126 divided by its sum of digits (18) gives a palindrome (7007).

Adding to 126126 its reverse (621621), we get a palindrome (747747).

It can be divided in two parts, 126 and 126, that added together give a palindrome (252).

The spelling of 126126 in words is "one hundred twenty-six thousand, one hundred twenty-six".