135645123366345 has 128 divisors (see below), whose sum is σ = 222784100352000. Its totient is φ = 70459456204800.

The previous prime is 135645123366331. The next prime is 135645123366391. The reversal of 135645123366345 is 543663321546531.

It is not a de Polignac number, because 135645123366345 - 2²⁰ = 135645122317769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22409566339 + ... + 22409572391.

It is an arithmetic number, because the mean of its divisors is an integer number (1740500784000).

Almost surely, 2^{135645123366345} is an apocalyptic number.

135645123366345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135645123366345 is a deficient number, since it is larger than the sum of its proper divisors (87138976985655).

135645123366345 is a wasteful number, since it uses less digits than its factorization.

135645123366345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111.

The product of its digits is 69984000, while the sum is 57.

The spelling of 135645123366345 in words is "one hundred thirty-five trillion, six hundred forty-five billion, one hundred twenty-three million, three hundred sixty-six thousand, three hundred forty-five".