126036 has 30 divisors (see below), whose sum is σ = 330330. Its totient is φ = 41904.

The previous prime is 126031. The next prime is 126037. The reversal of 126036 is 630621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 32400 = 306^2 + 180^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126031) by changing a digit.

126036 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 9 ways as a sum of consecutive naturals, for example, 130 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (11011).

2¹²⁶⁰³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165165).

126036 is an abundant number, since it is smaller than the sum of its proper divisors (204294).

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

126036 is a wasteful number, since it uses less digits than its factorization.

126036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 126036 is about 355.0154926197. The cubic root of 126036 is about 50.1377534645.

Adding to 126036 its reverse (630621), we get a palindrome (756657).

It can be divided in two parts, 1260 and 36, that added together give a 4-th power (1296 = 6⁴).

The spelling of 126036 in words is "one hundred twenty-six thousand, thirty-six".