126414561 has 48 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 65794176.

The previous prime is 126414553. The next prime is 126414623. The reversal of 126414561 is 165414621.

It is not a de Polignac number, because 126414561 - 2³ = 126414553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126414511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158215 + ... + 159011.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 2^126414561 is an apocalyptic number.

It is an amenable number.

126414561 is a deficient number, since it is larger than the sum of its proper divisors (87551583).

126414561 is a wasteful number, since it uses less digits than its factorization.

126414561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 903 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 126414561 is about 11243.4230108095. The cubic root of 126414561 is about 501.8790111221.

The spelling of 126414561 in words is "one hundred twenty-six million, four hundred fourteen thousand, five hundred sixty-one".