14505120 has 144 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 3313152.

The previous prime is 14505109. The next prime is 14505121. The reversal of 14505120 is 2150541.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 14505093 and 14505102.

It is not an unprimeable number, because it can be changed into a prime (14505121) 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 23 ways as a sum of consecutive naturals, for example, 9361 + ... + 10799.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^14505120 is an apocalyptic number.

14505120 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 14505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

14505120 is an abundant number, since it is smaller than the sum of its proper divisors (42104160).

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

14505120 is a wasteful number, since it uses less digits than its factorization.

14505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 14505120 is about 3808.5587825318. The cubic root of 14505120 is about 243.8786460953.

Adding to 14505120 its reverse (2150541), we get a palindrome (16655661).

The spelling of 14505120 in words is "fourteen million, five hundred five thousand, one hundred twenty".