135085986 has 48 divisors (see below), whose sum is σ = 338554944. Its totient is φ = 38128032.

The previous prime is 135085981. The next prime is 135085997. The reversal of 135085986 is 689580531.

135085986 is a `hidden beast` number, since 1 + 3 + 50 + 8 + 598 + 6 = 666.

It is a super-2 number, since 2×135085986² = 36496447227184392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135085981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (7053228).

Almost surely, 2^135085986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135085986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169277472).

135085986 is an abundant number, since it is smaller than the sum of its proper divisors (203468958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135085986 is a wasteful number, since it uses less digits than its factorization.

135085986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135085986 is about 11622.6496978959. The cubic root of 135085986 is about 513.1016749555.

The spelling of 135085986 in words is "one hundred thirty-five million, eighty-five thousand, nine hundred eighty-six".