18134144 has 64 divisors (see below), whose sum is σ = 42480960. Its totient is φ = 7547904.

The previous prime is 18134131. The next prime is 18134147. The reversal of 18134144 is 44143181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×18134144² = 657694357225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18134147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32879 + ... + 33425.

It is an arithmetic number, because the mean of its divisors is an integer number (663765).

Almost surely, 2^18134144 is an apocalyptic number.

18134144 is a gapful number since it is divisible by the number (14) 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 18134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240480).

18134144 is an abundant number, since it is smaller than the sum of its proper divisors (24346816).

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

18134144 is an equidigital number, since it uses as much as digits as its factorization.

18134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 18134144 is about 4258.4203644074. The cubic root of 18134144 is about 262.7235598143.

The spelling of 18134144 in words is "eighteen million, one hundred thirty-four thousand, one hundred forty-four".