126156 has 12 divisors (see below), whose sum is σ = 294392. Its totient is φ = 42048.

The previous prime is 126151. The next prime is 126173. The reversal of 126156 is 651621.

It is a happy number.

126156 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

126156 is an undulating number in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126156.

It is not an unprimeable number, because it can be changed into a prime (126151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5245 + ... + 5268.

2¹²⁶¹⁵⁶ is an apocalyptic number.

It is an amenable number.

126156 is an abundant number, since it is smaller than the sum of its proper divisors (168236).

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

126156 is a wasteful number, since it uses less digits than its factorization.

126156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520 (or 10518 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 126156 is about 355.1844591195. The cubic root of 126156 is about 50.1536606179.

Adding to 126156 its reverse (651621), we get a palindrome (777777).

It can be divided in two parts, 12615 and 6, that added together give a palindrome (12621).

The spelling of 126156 in words is "one hundred twenty-six thousand, one hundred fifty-six".