14742144 has 96 divisors (see below), whose sum is σ = 43280640. Its totient is φ = 4815360.

The previous prime is 14742137. The next prime is 14742151. The reversal of 14742144 is 44124741.

It is an interprime number because it is at equal distance from previous prime (14742137) and next prime (14742151).

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

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, 77089 + ... + 77279.

It is an arithmetic number, because the mean of its divisors is an integer number (450840).

Almost surely, 2^14742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640320).

14742144 is an abundant number, since it is smaller than the sum of its proper divisors (28538496).

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

14742144 is a wasteful number, since it uses less digits than its factorization.

14742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 14742144 is about 3839.5499736297. The cubic root of 14742144 is about 245.1998591332.

Adding to 14742144 its reverse (44124741), we get a palindrome (58866885).

The spelling of 14742144 in words is "fourteen million, seven hundred forty-two thousand, one hundred forty-four".