126566127 has 24 divisors (see below), whose sum is σ = 185867136. Its totient is φ = 82982736.

The previous prime is 126566123. The next prime is 126566161. The reversal of 126566127 is 721665621.

It is a happy number.

It is not a de Polignac number, because 126566127 - 2² = 126566123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126566091 and 126566100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126566123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160428 + ... + 161214.

It is an arithmetic number, because the mean of its divisors is an integer number (7744464).

Almost surely, 2^126566127 is an apocalyptic number.

126566127 is a deficient number, since it is larger than the sum of its proper divisors (59301009).

126566127 is a wasteful number, since it uses less digits than its factorization.

126566127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1064 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126566127 is about 11250.1611988451. The cubic root of 126566127 is about 502.0795086310.

The spelling of 126566127 in words is "one hundred twenty-six million, five hundred sixty-six thousand, one hundred twenty-seven".