14153120 has 48 divisors (see below), whose sum is σ = 34088040. Its totient is φ = 5551104.

The previous prime is 14153093. The next prime is 14153123. The reversal of 14153120 is 2135141.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 1507984 = 3556^2 + 1228^2 .

It is not an unprimeable number, because it can be changed into a prime (14153123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7646 + ... + 9314.

Almost surely, 2^14153120 is an apocalyptic number.

14153120 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 14153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044020).

14153120 is an abundant number, since it is smaller than the sum of its proper divisors (19934920).

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

14153120 is a wasteful number, since it uses less digits than its factorization.

14153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 14153120 is about 3762.0632636892. The cubic root of 14153120 is about 241.8897113732.

Adding to 14153120 its reverse (2135141), we get a palindrome (16288261).

The spelling of 14153120 in words is "fourteen million, one hundred fifty-three thousand, one hundred twenty".