18405135 has 72 divisors (see below), whose sum is σ = 39373776. Its totient is φ = 7902720.

The previous prime is 18405131. The next prime is 18405137. The reversal of 18405135 is 53150481.

It is not a de Polignac number, because 18405135 - 2² = 18405131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18405099 and 18405108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18405131) 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 71 ways as a sum of consecutive naturals, for example, 37240 + ... + 37730.

It is an arithmetic number, because the mean of its divisors is an integer number (546858).

Almost surely, 2^18405135 is an apocalyptic number.

18405135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18405135 is an abundant number, since it is smaller than the sum of its proper divisors (20968641).

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

18405135 is a wasteful number, since it uses less digits than its factorization.

18405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 18405135 is about 4290.1206276747. The cubic root of 18405135 is about 264.0257808845.

The spelling of 18405135 in words is "eighteen million, four hundred five thousand, one hundred thirty-five".