135618336 has 72 divisors (see below), whose sum is σ = 440766144. Its totient is φ = 38747520.

The previous prime is 135618331. The next prime is 135618337. The reversal of 135618336 is 633816531.

It is a happy number.

135618336 is a `hidden beast` number, since 1 + 3 + 5 + 618 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 135618336.

It is not an unprimeable number, because it can be changed into a prime (135618331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31620 + ... + 35651.

It is an arithmetic number, because the mean of its divisors is an integer number (6121752).

Almost surely, 2^135618336 is an apocalyptic number.

135618336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135618336 is an abundant number, since it is smaller than the sum of its proper divisors (305147808).

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

135618336 is a wasteful number, since it uses less digits than its factorization.

135618336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67294 (or 67283 counting only the distinct ones).

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

The square root of 135618336 is about 11645.5285839673. The cubic root of 135618336 is about 513.7748058422.

The spelling of 135618336 in words is "one hundred thirty-five million, six hundred eighteen thousand, three hundred thirty-six".