135093013705 has 32 divisors (see below), whose sum is σ = 185945306400. Its totient is φ = 93892571136.

The previous prime is 135093013697. The next prime is 135093013733. The reversal of 135093013705 is 507310390531.

It can be written as a sum of positive squares in 16 ways, for example, as 132400649161 + 2692364544 = 363869^2 + 51888^2 .

It is not a de Polignac number, because 135093013705 - 2³ = 135093013697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174960 + ... + 548449.

It is an arithmetic number, because the mean of its divisors is an integer number (5810790825).

Almost surely, 2^135093013705 is an apocalyptic number.

It is an amenable number.

135093013705 is a deficient number, since it is larger than the sum of its proper divisors (50852292695).

135093013705 is an equidigital number, since it uses as much as digits as its factorization.

135093013705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723470 (or 723444 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 37.

The spelling of 135093013705 in words is "one hundred thirty-five billion, ninety-three million, thirteen thousand, seven hundred five".