135186336 has 36 divisors (see below), whose sum is σ = 384436962. Its totient is φ = 45062016.

The previous prime is 135186251. The next prime is 135186347. The reversal of 135186336 is 633681531.

It is a happy number.

135186336 is a `hidden beast` number, since 1 + 3 + 5 + 18 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134096400 + 1089936 = 11580^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×135186336² = 36550690882209792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135186336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234411 + ... + 234986.

Almost surely, 2^135186336 is an apocalyptic number.

135186336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135186336 is an abundant number, since it is smaller than the sum of its proper divisors (249250626).

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

135186336 is a wasteful number, since it uses less digits than its factorization.

135186336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469413 (or 469402 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 135186336 is about 11626.9658982901. The cubic root of 135186336 is about 513.2286977750.

The spelling of 135186336 in words is "one hundred thirty-five million, one hundred eighty-six thousand, three hundred thirty-six".