540137 has 4 divisors (see below), whose sum is σ = 581700. Its totient is φ = 498576.

The previous prime is 540121. The next prime is 540139. The reversal of 540137 is 731045.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44521 + 495616 = 211^2 + 704^2 .

It is not a de Polignac number, because 540137 - 2⁴ = 540121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20762 + ... + 20787.

It is an arithmetic number, because the mean of its divisors is an integer number (145425).

2⁵⁴⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

540137 is a deficient number, since it is larger than the sum of its proper divisors (41563).

540137 is a wasteful number, since it uses less digits than its factorization.

540137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41562.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 540137 is about 734.9401336163. The cubic root of 540137 is about 81.4394144936.

The spelling of 540137 in words is "five hundred forty thousand, one hundred thirty-seven".