135473137 has 2 divisors, whose sum is σ = 135473138. Its totient is φ = 135473136.

The previous prime is 135473113. The next prime is 135473147. The reversal of 135473137 is 731374531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 41460721 = 9696^2 + 6439^2 .

It is an emirp because it is prime and its reverse (731374531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135473137 - 2¹⁵ = 135440369 is a prime.

It is not a weakly prime, because it can be changed into another prime (135473147) 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, 67736568 + 67736569.

It is an arithmetic number, because the mean of its divisors is an integer number (67736569).

Almost surely, 2^135473137 is an apocalyptic number.

It is an amenable number.

135473137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135473137 is an equidigital number, since it uses as much as digits as its factorization.

135473137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 34.

The square root of 135473137 is about 11639.2928049775. The cubic root of 135473137 is about 513.5913836756.

The spelling of 135473137 in words is "one hundred thirty-five million, four hundred seventy-three thousand, one hundred thirty-seven".