126756 has 36 divisors (see below), whose sum is σ = 366912. Its totient is φ = 36144.

The previous prime is 126751. The next prime is 126757. The reversal of 126756 is 657621.

126756 = T₁₇₄ + T₁₇₅ + ... + T₁₈₁.

126756 is a nontrivial binomial coefficient, being equal to C(504, 2).

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126756.

It is not an unprimeable number, because it can be changed into a prime (126751) by changing a digit.

126756 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, 1 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2¹²⁶⁷⁵⁶ is an apocalyptic number.

126756 is the 503-rd triangular number and also the 252-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

126756 is an abundant number, since it is smaller than the sum of its proper divisors (240156).

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

126756 is a wasteful number, since it uses less digits than its factorization.

126756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 126756 is about 356.0280887795. The cubic root of 126756 is about 50.2330454422.

The spelling of 126756 in words is "one hundred twenty-six thousand, seven hundred fifty-six".