14193144 has 144 divisors (see below), whose sum is σ = 46683000. Its totient is φ = 4027968.

The previous prime is 14193131. The next prime is 14193161. The reversal of 14193144 is 44139141.

14193144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95182 + ... + 95330.

Almost surely, 2^14193144 is an apocalyptic number.

14193144 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 14193144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23341500).

14193144 is an abundant number, since it is smaller than the sum of its proper divisors (32489856).

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

14193144 is a wasteful number, since it uses less digits than its factorization.

14193144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 14193144 is about 3767.3789297070. The cubic root of 14193144 is about 242.1175123110.

The spelling of 14193144 in words is "fourteen million, one hundred ninety-three thousand, one hundred forty-four".