135048457279 has 16 divisors (see below), whose sum is σ = 142772256000. Its totient is φ = 127386781056.

The previous prime is 135048457231. The next prime is 135048457303. The reversal of 135048457279 is 972754840531.

It is not a de Polignac number, because 135048457279 - 2¹⁹ = 135047932991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135048557279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11202247 + ... + 11214295.

It is an arithmetic number, because the mean of its divisors is an integer number (8923266000).

Almost surely, 2^135048457279 is an apocalyptic number.

135048457279 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

135048457279 is a deficient number, since it is larger than the sum of its proper divisors (7723798721).

135048457279 is a wasteful number, since it uses less digits than its factorization.

135048457279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14574.

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 135048457279 in words is "one hundred thirty-five billion, forty-eight million, four hundred fifty-seven thousand, two hundred seventy-nine".