14144900 has 108 divisors (see below), whose sum is σ = 38789184. Its totient is φ = 4382400.

The previous prime is 14144891. The next prime is 14144903. The reversal of 14144900 is 944141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144903) 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 35 ways as a sum of consecutive naturals, for example, 84617 + ... + 84783.

Almost surely, 2^14144900 is an apocalyptic number.

14144900 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 14144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394592).

14144900 is an abundant number, since it is smaller than the sum of its proper divisors (24644284).

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

14144900 is a wasteful number, since it uses less digits than its factorization.

14144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14144900 is about 3760.9706194013. The cubic root of 14144900 is about 241.8428732087.

The spelling of 14144900 in words is "fourteen million, one hundred forty-four thousand, nine hundred".