18135936 has 192 divisors, whose sum is σ = 64602720. Its totient is φ = 4755456.

The previous prime is 18135917. The next prime is 18135941. The reversal of 18135936 is 63953181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 18135936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104746 + ... + 104918.

Almost surely, 2^18135936 is an apocalyptic number.

18135936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32301360).

18135936 is an abundant number, since it is smaller than the sum of its proper divisors (46466784).

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

18135936 is a wasteful number, since it uses less digits than its factorization.

18135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 18135936 is about 4258.6307658683. The cubic root of 18135936 is about 262.7322135656.

The spelling of 18135936 in words is "eighteen million, one hundred thirty-five thousand, nine hundred thirty-six".