18145800 has 144 divisors (see below), whose sum is σ = 64633140. Its totient is φ = 4546560.

The previous prime is 18145763. The next prime is 18145801. The reversal of 18145800 is 854181.

18145800 is a `hidden beast` number, since 1 + 81 + 4 + 580 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10227204 + 7918596 = 3198^2 + 2814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18145801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30304 + ... + 30896.

Almost surely, 2^18145800 is an apocalyptic number.

18145800 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 18145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316570).

18145800 is an abundant number, since it is smaller than the sum of its proper divisors (46487340).

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

18145800 is a wasteful number, since it uses less digits than its factorization.

18145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18145800 is about 4259.7887271554. The cubic root of 18145800 is about 262.7798376280.

Adding to 18145800 its reverse (854181), we get a palindrome (18999981).

It can be divided in two parts, 18 and 145800, that multiplied together give a square (2624400 = 1620²).

The spelling of 18145800 in words is "eighteen million, one hundred forty-five thousand, eight hundred".