4127113137 has 16 divisors (see below), whose sum is σ = 6658872192. Its totient is φ = 2219623680.

The previous prime is 4127113121. The next prime is 4127113141. The reversal of 4127113137 is 7313117214.

4127113137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4127113137 - 2⁴ = 4127113121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4127113117) 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, 5779914 + ... + 5780627.

It is an arithmetic number, because the mean of its divisors is an integer number (416179512).

Almost surely, 2^4127113137 is an apocalyptic number.

It is an amenable number.

4127113137 is a deficient number, since it is larger than the sum of its proper divisors (2531759055).

4127113137 is a wasteful number, since it uses less digits than its factorization.

4127113137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560568.

The product of its digits is 3528, while the sum is 30.

The square root of 4127113137 is about 64242.6115362693. The cubic root of 4127113137 is about 1604.0409751961.

The spelling of 4127113137 in words is "four billion, one hundred twenty-seven million, one hundred thirteen thousand, one hundred thirty-seven".