18138120 has 256 divisors, whose sum is σ = 73543680. Its totient is φ = 3456000.

The previous prime is 18138119. The next prime is 18138121. The reversal of 18138120 is 2183181.

It is an interprime number because it is at equal distance from previous prime (18138119) and next prime (18138121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (18138121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120045 + ... + 120195.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^18138120 is an apocalyptic number.

18138120 is a gapful number since it is divisible by the number (10) 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 18138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771840).

18138120 is an abundant number, since it is smaller than the sum of its proper divisors (55405560).

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

18138120 is a wasteful number, since it uses less digits than its factorization.

18138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 18138120 is about 4258.8871785949. The cubic root of 18138120 is about 262.7427595542.

The spelling of 18138120 in words is "eighteen million, one hundred thirty-eight thousand, one hundred twenty".