126115641 has 12 divisors (see below), whose sum is σ = 184886832. Its totient is φ = 82821816.

The previous prime is 126115637. The next prime is 126115663. The reversal of 126115641 is 146511621.

126115641 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 15 + 641 = 666.

It is not a de Polignac number, because 126115641 - 2² = 126115637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126115621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103971 + ... + 105176.

It is an arithmetic number, because the mean of its divisors is an integer number (15407236).

Almost surely, 2^126115641 is an apocalyptic number.

It is an amenable number.

126115641 is a deficient number, since it is larger than the sum of its proper divisors (58771191).

126115641 is a wasteful number, since it uses less digits than its factorization.

126115641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209220 (or 209217 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 126115641 is about 11230.1220385177. The cubic root of 126115641 is about 501.4831177073.

It can be divided in two parts, 126115 and 641, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126115641 in words is "one hundred twenty-six million, one hundred fifteen thousand, six hundred forty-one".