540408137 has 2 divisors, whose sum is σ = 540408138. Its totient is φ = 540408136.

The previous prime is 540408097. The next prime is 540408139. The reversal of 540408137 is 731804045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 509450041 + 30958096 = 22571^2 + 5564^2 .

It is a cyclic number.

It is not a de Polignac number, because 540408137 - 2⁶ = 540408073 is a prime.

Together with 540408139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540408139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270204068 + 270204069.

It is an arithmetic number, because the mean of its divisors is an integer number (270204069).

Almost surely, 2^540408137 is an apocalyptic number.

It is an amenable number.

540408137 is a deficient number, since it is larger than the sum of its proper divisors (1).

540408137 is an equidigital number, since it uses as much as digits as its factorization.

540408137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 540408137 is about 23246.6801285689. The cubic root of 540408137 is about 814.5303915102.

The spelling of 540408137 in words is "five hundred forty million, four hundred eight thousand, one hundred thirty-seven".