42175042137 has 24 divisors (see below), whose sum is σ = 61034508288. Its totient is φ = 28063680000.

The previous prime is 42175042103. The next prime is 42175042139. The reversal of 42175042137 is 73124057124.

42175042137 is a `hidden beast` number, since 4 + 2 + 17 + 504 + 2 + 137 = 666.

It is not a de Polignac number, because 42175042137 - 2¹⁰ = 42175041113 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42175042139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16583488 + ... + 16586030.

It is an arithmetic number, because the mean of its divisors is an integer number (2543104512).

Almost surely, 2^42175042137 is an apocalyptic number.

It is an amenable number.

42175042137 is a deficient number, since it is larger than the sum of its proper divisors (18859466151).

42175042137 is a wasteful number, since it uses less digits than its factorization.

42175042137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 42175042137 in words is "forty-two billion, one hundred seventy-five million, forty-two thousand, one hundred thirty-seven".