135864468531 has 128 divisors (see below), whose sum is σ = 231504998400. Its totient is φ = 78006343680.

The previous prime is 135864468527. The next prime is 135864468539.

It is a happy number.

135864468531 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 6 + 44 + 68 + 531 = 666.

135864468531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135864468531 - 2² = 135864468527 is a prime.

It is a super-2 number, since 2×135864468531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135864468539) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120339975 + ... + 120341103.

It is an arithmetic number, because the mean of its divisors is an integer number (1808632800).

Almost surely, 2^135864468531 is an apocalyptic number.

135864468531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135864468531 is a deficient number, since it is larger than the sum of its proper divisors (95640529869).

135864468531 is a wasteful number, since it uses less digits than its factorization.

135864468531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 135864468531 in words is "one hundred thirty-five billion, eight hundred sixty-four million, four hundred sixty-eight thousand, five hundred thirty-one".