135035137 has 2 divisors, whose sum is σ = 135035138. Its totient is φ = 135035136.

The previous prime is 135035123. The next prime is 135035141. The reversal of 135035137 is 731530531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134768881 + 266256 = 11609^2 + 516^2 .

It is an emirp because it is prime and its reverse (731530531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135035137 - 2²⁷ = 817409 is a prime.

It is not a weakly prime, because it can be changed into another prime (135032137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67517568 + 67517569.

It is an arithmetic number, because the mean of its divisors is an integer number (67517569).

Almost surely, 2^135035137 is an apocalyptic number.

It is an amenable number.

135035137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135035137 is an equidigital number, since it uses as much as digits as its factorization.

135035137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 135035137 is about 11620.4619959793. The cubic root of 135035137 is about 513.0372863829.

Adding to 135035137 its reverse (731530531), we get a palindrome (866565668).

The spelling of 135035137 in words is "one hundred thirty-five million, thirty-five thousand, one hundred thirty-seven".