42037137 has 20 divisors (see below), whose sum is σ = 63145060. Its totient is φ = 27869184.

The previous prime is 42037133. The next prime is 42037157. The reversal of 42037137 is 73173024.

It can be written as a sum of positive squares in 2 ways, for example, as 5022081 + 37015056 = 2241^2 + 6084^2 .

It is not a de Polignac number, because 42037137 - 2² = 42037133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42037137.

It is not an unprimeable number, because it can be changed into a prime (42037133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14289 + ... + 16977.

It is an arithmetic number, because the mean of its divisors is an integer number (3157253).

Almost surely, 2^42037137 is an apocalyptic number.

It is an amenable number.

42037137 is a deficient number, since it is larger than the sum of its proper divisors (21107923).

42037137 is a wasteful number, since it uses less digits than its factorization.

42037137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 42037137 is about 6483.6052470828. The cubic root of 42037137 is about 347.7050860543.

The spelling of 42037137 in words is "forty-two million, thirty-seven thousand, one hundred thirty-seven".