18135964 has 72 divisors (see below), whose sum is σ = 41023584. Its totient is φ = 6864000.

The previous prime is 18135947. The next prime is 18135967. The reversal of 18135964 is 46953181.

It is a super-3 number, since 3×18135964³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18135967) 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, 179514 + ... + 179614.

It is an arithmetic number, because the mean of its divisors is an integer number (569772).

Almost surely, 2^18135964 is an apocalyptic number.

18135964 is a gapful number since it is divisible by the number (14) 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 18135964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511792).

18135964 is an abundant number, since it is smaller than the sum of its proper divisors (22887620).

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

18135964 is a wasteful number, since it uses less digits than its factorization.

18135964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 18135964 is about 4258.6340533086. The cubic root of 18135964 is about 262.7323487759.

It can be divided in two parts, 1813 and 5964, that added together give a palindrome (7777).

The spelling of 18135964 in words is "eighteen million, one hundred thirty-five thousand, nine hundred sixty-four".