135882131 has 16 divisors (see below), whose sum is σ = 169793280. Its totient is φ = 105643680.

The previous prime is 135882079. The next prime is 135882157. The reversal of 135882131 is 131288531.

It is a cyclic number.

It is not a de Polignac number, because 135882131 - 2¹⁴ = 135865747 is a prime.

It is a super-2 number, since 2×135882131² = 36927907050202322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135882731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37460 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (10612080).

Almost surely, 2^135882131 is an apocalyptic number.

135882131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135882131 is a deficient number, since it is larger than the sum of its proper divisors (33911149).

135882131 is a wasteful number, since it uses less digits than its factorization.

135882131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994.

The product of its digits is 5760, while the sum is 32.

The square root of 135882131 is about 11656.8491025663. The cubic root of 135882131 is about 514.1077093137.

The spelling of 135882131 in words is "one hundred thirty-five million, eight hundred eighty-two thousand, one hundred thirty-one".