135710174579841 has 27 divisors (see below), whose sum is σ = 208235939217033. Its totient is φ = 85151109306240.

The previous prime is 135710174579813. The next prime is 135710174579887. The reversal of 135710174579841 is 148975471017531.

The square root of 135710174579841 is 11649471.

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

135710174579841 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 0 + 17 + 4 + 579 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19967090087025 + 115743084492816 = 4468455^2 + 10758396^2 .

It is not a de Polignac number, because 135710174579841 - 2³⁷ = 135572735626369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135710174579341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 594008811 + ... + 594237231.

Almost surely, 2^{135710174579841} is an apocalyptic number.

135710174579841 is the 11649471-st square number.

135710174579841 is the 5824736-th centered octagonal number.

It is an amenable number.

135710174579841 is a deficient number, since it is larger than the sum of its proper divisors (72525764637192).

135710174579841 is an frugal number, since it uses more digits than its factorization.

135710174579841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456882 (or 228441 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 135710174579841 in words is "one hundred thirty-five trillion, seven hundred ten billion, one hundred seventy-four million, five hundred seventy-nine thousand, eight hundred forty-one".