14148160 has 112 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 4921344.

The previous prime is 14148149. The next prime is 14148163. The reversal of 14148160 is 6184141.

It is not an unprimeable number, because it can be changed into a prime (14148163) 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, 78951 + ... + 79129.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 2^14148160 is an apocalyptic number.

14148160 is a gapful number since it is divisible by the number (10) 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 14148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

14148160 is an abundant number, since it is smaller than the sum of its proper divisors (24256640).

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

14148160 is a wasteful number, since it uses less digits than its factorization.

14148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 14148160 is about 3761.4039931919. The cubic root of 14148160 is about 241.8614510991.

The spelling of 14148160 in words is "fourteen million, one hundred forty-eight thousand, one hundred sixty".