135777606777531 has 12 divisors (see below), whose sum is σ = 196979643023280. Its totient is φ = 90123127641360.

The previous prime is 135777606777521. The next prime is 135777606777601.

135777606777531 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 7 + 7 + 606 + 7 + 7 + 7 + 5 + 3 + 1 = 666.

135777606777531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135777606777531 - 2⁵ = 135777606777499 is a prime.

It is a super-2 number, since 2×135777606777531² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135777606777531.

It is not an unprimeable number, because it can be changed into a prime (135777606777521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32939737575 + ... + 32939741696.

It is an arithmetic number, because the mean of its divisors is an integer number (16414970251940).

Almost surely, 2^{135777606777531} is an apocalyptic number.

135777606777531 is a deficient number, since it is larger than the sum of its proper divisors (61202036245749).

135777606777531 is a wasteful number, since it uses less digits than its factorization.

135777606777531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65879479506 (or 65879479503 counting only the distinct ones).

The product of its (nonzero) digits is 952956900, while the sum is 72.

The spelling of 135777606777531 in words is "one hundred thirty-five trillion, seven hundred seventy-seven billion, six hundred six million, seven hundred seventy-seven thousand, five hundred thirty-one".