540123 has 16 divisors (see below), whose sum is σ = 760320. Its totient is φ = 340704.

The previous prime is 540121. The next prime is 540139. The reversal of 540123 is 321045.

It is not a de Polignac number, because 540123 - 2¹ = 540121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540121) 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, 6798 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

2⁵⁴⁰¹²³ is an apocalyptic number.

540123 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

540123 is a deficient number, since it is larger than the sum of its proper divisors (220197).

540123 is a wasteful number, since it uses less digits than its factorization.

540123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540123 is about 734.9306089693. The cubic root of 540123 is about 81.4387108686.

Adding to 540123 its reverse (321045), we get a palindrome (861168).

The spelling of 540123 in words is "five hundred forty thousand, one hundred twenty-three".