540135 has 16 divisors (see below), whose sum is σ = 960480. Its totient is φ = 288000.

The previous prime is 540121. The next prime is 540139. The reversal of 540135 is 531045.

It is not a de Polignac number, because 540135 - 2⁴ = 540119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540139) 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, 1866 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (60030).

2⁵⁴⁰¹³⁵ is an apocalyptic number.

540135 is a deficient number, since it is larger than the sum of its proper divisors (420345).

540135 is a wasteful number, since it uses less digits than its factorization.

540135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 540135 is about 734.9387729600. The cubic root of 540135 is about 81.4393139765.

It can be divided in two parts, 540 and 135, that multiplied together give a square (72900 = 270²).

The spelling of 540135 in words is "five hundred forty thousand, one hundred thirty-five".