42538137 has 16 divisors (see below), whose sum is σ = 58248960. Its totient is φ = 27598032.

The previous prime is 42538127. The next prime is 42538151. The reversal of 42538137 is 73183524.

It is not a de Polignac number, because 42538137 - 2⁴ = 42538121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42538098 and 42538107.

It is not an unprimeable number, because it can be changed into a prime (42538127) 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, 53658 + ... + 54444.

It is an arithmetic number, because the mean of its divisors is an integer number (3640560).

Almost surely, 2^42538137 is an apocalyptic number.

It is an amenable number.

42538137 is a deficient number, since it is larger than the sum of its proper divisors (15710823).

42538137 is a wasteful number, since it uses less digits than its factorization.

42538137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252.

The product of its digits is 20160, while the sum is 33.

The square root of 42538137 is about 6522.1267236999. The cubic root of 42538137 is about 349.0809548300.

The spelling of 42538137 in words is "forty-two million, five hundred thirty-eight thousand, one hundred thirty-seven".