126753 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 73040.

The previous prime is 126751. The next prime is 126757. The reversal of 126753 is 357621.

It is not a de Polignac number, because 126753 - 2¹ = 126751 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126753.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

126753 is a Friedman number, since it can be written as 356^2+17, using all its digits and the basic arithmetic operations.

2¹²⁶⁷⁵³ is an apocalyptic number.

It is an amenable number.

126753 is a deficient number, since it is larger than the sum of its proper divisors (66783).

126753 is a wasteful number, since it uses less digits than its factorization.

126753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its digits is 1260, while the sum is 24.

The square root of 126753 is about 356.0238756039. The cubic root of 126753 is about 50.2326491419.

It can be divided in two parts, 12675 and 3, that multiplied together give a square (38025 = 195²).

The spelling of 126753 in words is "one hundred twenty-six thousand, seven hundred fifty-three".