135175013937441 has 15 divisors (see below), whose sum is σ = 201928263551553. Its totient is φ = 90116606199420.

The previous prime is 135175013937433. The next prime is 135175013937461. The reversal of 135175013937441 is 144739310571531.

The square root of 135175013937441 is 11626479.

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

135175013937441 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 7 + 501 + 3 + 93 + 7 + 4 + 41 = 666.

It is not a de Polignac number, because 135175013937441 - 2³ = 135175013937433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135175013937461) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 103992396 + ... + 105284226.

Almost surely, 2^{135175013937441} is an apocalyptic number.

135175013937441 is the 11626479-th square number.

135175013937441 is the 5813240-th centered octagonal number.

It is an amenable number.

135175013937441 is a deficient number, since it is larger than the sum of its proper divisors (66753249614112).

135175013937441 is an frugal number, since it uses more digits than its factorization.

135175013937441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583674 (or 1291834 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 135175013937441 in words is "one hundred thirty-five trillion, one hundred seventy-five billion, thirteen million, nine hundred thirty-seven thousand, four hundred forty-one".