18289152 has 210 divisors, whose sum is σ = 63733923. Its totient is φ = 5225472.

The previous prime is 18289151. The next prime is 18289171. The reversal of 18289152 is 25198281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 9144576 = 3024^2 + 3024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3024.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (11520) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (18289151) 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 20 ways as a sum of consecutive naturals, for example, 2612733 + ... + 2612739.

Almost surely, 2^18289152 is an apocalyptic number.

18289152 is a gapful number since it is divisible by the number (12) 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 18289152

18289152 is an abundant number, since it is smaller than the sum of its proper divisors (45444771).

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

18289152 is an frugal number, since it uses more digits than its factorization.

18289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 18289152 is about 4276.5818126162. The cubic root of 18289152 is about 263.4700111217.

The spelling of 18289152 in words is "eighteen million, two hundred eighty-nine thousand, one hundred fifty-two".