14148064 has 48 divisors (see below), whose sum is σ = 32508000. Its totient is φ = 6058752.

The previous prime is 14148061. The next prime is 14148077. The reversal of 14148064 is 46084141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10332 + ... + 11620.

It is an arithmetic number, because the mean of its divisors is an integer number (677250).

Almost surely, 2^14148064 is an apocalyptic number.

14148064 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 14148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254000).

14148064 is an abundant number, since it is smaller than the sum of its proper divisors (18359936).

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

14148064 is an equidigital number, since it uses as much as digits as its factorization.

14148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14148064 is about 3761.3912319779. The cubic root of 14148064 is about 241.8609040609.

It can be divided in two parts, 141 and 48064, that added together give a triangular number (48205 = T₃₁₀).

The spelling of 14148064 in words is "fourteen million, one hundred forty-eight thousand, sixty-four".