135105587221257 has 24 divisors (see below), whose sum is σ = 197006465856096. Its totient is φ = 89214979026816.

The previous prime is 135105587221237. The next prime is 135105587221259. The reversal of 135105587221257 is 752122785501531.

135105587221257 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 5 + 587 + 2 + 2 + 1 + 2 + 57 = 666.

It is not a de Polignac number, because 135105587221257 - 2¹⁵ = 135105587188489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135105587221259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409808 + ... + 17019329.

It is an arithmetic number, because the mean of its divisors is an integer number (8208602744004).

Almost surely, 2^{135105587221257} is an apocalyptic number.

It is an amenable number.

135105587221257 is a deficient number, since it is larger than the sum of its proper divisors (61900878634839).

135105587221257 is a wasteful number, since it uses less digits than its factorization.

135105587221257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21435797 (or 21435794 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 54.

The spelling of 135105587221257 in words is "one hundred thirty-five trillion, one hundred five billion, five hundred eighty-seven million, two hundred twenty-one thousand, two hundred fifty-seven".