14745120 has 192 divisors, whose sum is σ = 53343360. Its totient is φ = 3391488.

The previous prime is 14745109. The next prime is 14745127. The reversal of 14745120 is 2154741.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14745127) 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 31 ways as a sum of consecutive naturals, for example, 106011 + ... + 106149.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^14745120 is an apocalyptic number.

14745120 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 14745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

14745120 is an abundant number, since it is smaller than the sum of its proper divisors (38598240).

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

14745120 is a wasteful number, since it uses less digits than its factorization.

14745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 14745120 is about 3839.9374994914. The cubic root of 14745120 is about 245.2163575404.

Adding to 14745120 its reverse (2154741), we get a palindrome (16899861).

The spelling of 14745120 in words is "fourteen million, seven hundred forty-five thousand, one hundred twenty".