14906144 has 96 divisors (see below), whose sum is σ = 35271936. Its totient is φ = 6123520.

The previous prime is 14906141. The next prime is 14906149. The reversal of 14906144 is 44160941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14906141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281222 + ... + 281274.

It is an arithmetic number, because the mean of its divisors is an integer number (367416).

Almost surely, 2^14906144 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 14906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968).

14906144 is an abundant number, since it is smaller than the sum of its proper divisors (20365792).

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

14906144 is a wasteful number, since it uses less digits than its factorization.

14906144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 14906144 is about 3860.8475753389. The cubic root of 14906144 is about 246.1057557496.

The spelling of 14906144 in words is "fourteen million, nine hundred six thousand, one hundred forty-four".