14138880 has 160 divisors (see below), whose sum is σ = 51853824. Its totient is φ = 3219456.

The previous prime is 14138879. The next prime is 14138903. The reversal of 14138880 is 8883141.

It is a happy number.

14138880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53629 + ... + 53891.

Almost surely, 2^14138880 is an apocalyptic number.

14138880 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 14138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926912).

14138880 is an abundant number, since it is smaller than the sum of its proper divisors (37714944).

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

14138880 is an equidigital number, since it uses as much as digits as its factorization.

14138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 14138880 is about 3760.1702089134. The cubic root of 14138880 is about 241.8085592938.

The spelling of 14138880 in words is "fourteen million, one hundred thirty-eight thousand, eight hundred eighty".