135856344882049 has 9 divisors (see below), whose sum is σ = 149329842327939. Its totient is φ = 123505651517160.

The previous prime is 135856344882023. The next prime is 135856344882073. The reversal of 135856344882049 is 940288443658531.

The square root of 135856344882049 is 11655743.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128208177639025 + 7648167243024 = 11322905^2 + 2765532^2 .

It is a de Polignac number, because none of the positive numbers 2^k-135856344882049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135856344802049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127683367 + ... + 128742979.

Almost surely, 2^{135856344882049} is an apocalyptic number.

135856344882049 is the 11655743-rd square number.

135856344882049 is the 5827872-nd centered octagonal number.

It is an amenable number.

135856344882049 is a deficient number, since it is larger than the sum of its proper divisors (13473497445890).

135856344882049 is an frugal number, since it uses more digits than its factorization.

135856344882049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119248 (or 1059624 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 70.

The spelling of 135856344882049 in words is "one hundred thirty-five trillion, eight hundred fifty-six billion, three hundred forty-four million, eight hundred eighty-two thousand, forty-nine".