135005005 has 16 divisors (see below), whose sum is σ = 171687600. Its totient is φ = 101731840.

The previous prime is 135004997. The next prime is 135005021. The reversal of 135005005 is 500500531.

It can be written as a sum of positive squares in 8 ways, for example, as 56115081 + 78889924 = 7491^2 + 8882^2 .

It is not a de Polignac number, because 135005005 - 2³ = 135004997 is a prime.

135005005 is a modest number, since divided by 5005 gives 135 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5410 + ... + 17299.

It is an arithmetic number, because the mean of its divisors is an integer number (10730475).

Almost surely, 2^135005005 is an apocalyptic number.

It is an amenable number.

135005005 is a deficient number, since it is larger than the sum of its proper divisors (36682595).

135005005 is a wasteful number, since it uses less digits than its factorization.

135005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 135005005 is about 11619.1654175332. The cubic root of 135005005 is about 512.9991235022. Note that the first 3 decimals are identical.

Adding to 135005005 its reverse (500500531), we get a palindrome (635505536).

The spelling of 135005005 in words is "one hundred thirty-five million, five thousand, five".