126782753 has 8 divisors (see below), whose sum is σ = 134474760. Its totient is φ = 119116800.

The previous prime is 126782741. The next prime is 126782779. The reversal of 126782753 is 357287621.

It can be written as a sum of positive squares in 4 ways, for example, as 20857489 + 105925264 = 4567^2 + 10292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126782753 - 2⁴ = 126782737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126782753.

It is not an unprimeable number, because it can be changed into a prime (126782713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4013 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (16809345).

Almost surely, 2^126782753 is an apocalyptic number.

It is an amenable number.

126782753 is a deficient number, since it is larger than the sum of its proper divisors (7692007).

126782753 is a wasteful number, since it uses less digits than its factorization.

126782753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027.

The product of its digits is 141120, while the sum is 41.

The square root of 126782753 is about 11259.7847670371. The cubic root of 126782753 is about 502.3657923976.

The spelling of 126782753 in words is "one hundred twenty-six million, seven hundred eighty-two thousand, seven hundred fifty-three".