18134400 has 96 divisors (see below), whose sum is σ = 59761800. Its totient is φ = 4833280.

The previous prime is 18134399. The next prime is 18134429. The reversal of 18134400 is 443181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8656 + ... + 10544.

Almost surely, 2^18134400 is an apocalyptic number.

18134400 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 18134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880900).

18134400 is an abundant number, since it is smaller than the sum of its proper divisors (41627400).

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

18134400 is a wasteful number, since it uses less digits than its factorization.

18134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 18134400 is about 4258.4504223955. The cubic root of 18134400 is about 262.7247960994.

Adding to 18134400 its reverse (443181), we get a palindrome (18577581).

The spelling of 18134400 in words is "eighteen million, one hundred thirty-four thousand, four hundred".