14148864 has 144 divisors (see below), whose sum is σ = 44150400. Its totient is φ = 4460544.

The previous prime is 14148857. The next prime is 14148877. The reversal of 14148864 is 46884141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 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, 158932 + ... + 159020.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 2^14148864 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 14148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

14148864 is an abundant number, since it is smaller than the sum of its proper divisors (30001536).

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

14148864 is an equidigital number, since it uses as much as digits as its factorization.

14148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14148864 is about 3761.4975741053. The cubic root of 14148864 is about 241.8654626370.

The spelling of 14148864 in words is "fourteen million, one hundred forty-eight thousand, eight hundred sixty-four".