135604507005 has 144 divisors (see below), whose sum is σ = 264990883248. Its totient is φ = 64079769600.

The previous prime is 135604506991. The next prime is 135604507063. The reversal of 135604507005 is 500705406531.

135604507005 is a `hidden beast` number, since 135 + 6 + 0 + 450 + 70 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 105485945796 + 30118561209 = 324786^2 + 173547^2 .

It is not a de Polignac number, because 135604507005 - 2⁶ = 135604506941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37530579 + ... + 37534191.

It is an arithmetic number, because the mean of its divisors is an integer number (1840214467).

Almost surely, 2^135604507005 is an apocalyptic number.

135604507005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135604507005 is a deficient number, since it is larger than the sum of its proper divisors (129386376243).

135604507005 is a wasteful number, since it uses less digits than its factorization.

135604507005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 135604507005 in words is "one hundred thirty-five billion, six hundred four million, five hundred seven thousand, five".