14253120 has 252 divisors, whose sum is σ = 57593484. Its totient is φ = 3225600.

The previous prime is 14253067. The next prime is 14253121. The reversal of 14253120 is 2135241.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 4064256 = 3192^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14253093 and 14253102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14253121) 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 35 ways as a sum of consecutive naturals, for example, 141070 + ... + 141170.

Almost surely, 2^14253120 is an apocalyptic number.

14253120 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 14253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28796742).

14253120 is an abundant number, since it is smaller than the sum of its proper divisors (43340364).

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

14253120 is a wasteful number, since it uses less digits than its factorization.

14253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14253120 is about 3775.3304491130. The cubic root of 14253120 is about 242.4580718952.

Adding to 14253120 its reverse (2135241), we get a palindrome (16388361).

The spelling of 14253120 in words is "fourteen million, two hundred fifty-three thousand, one hundred twenty".