540723137 has 2 divisors, whose sum is σ = 540723138. Its totient is φ = 540723136.

The previous prime is 540723103. The next prime is 540723247. The reversal of 540723137 is 731327045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 454158721 + 86564416 = 21311^2 + 9304^2 .

It is a cyclic number.

It is not a de Polignac number, because 540723137 - 2¹² = 540719041 is a prime.

It is not a weakly prime, because it can be changed into another prime (540723037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270361568 + 270361569.

It is an arithmetic number, because the mean of its divisors is an integer number (270361569).

Almost surely, 2^540723137 is an apocalyptic number.

It is an amenable number.

540723137 is a deficient number, since it is larger than the sum of its proper divisors (1).

540723137 is an equidigital number, since it uses as much as digits as its factorization.

540723137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 540723137 is about 23253.4543025332. The cubic root of 540723137 is about 814.6886220644.

The spelling of 540723137 in words is "five hundred forty million, seven hundred twenty-three thousand, one hundred thirty-seven".