14152320 has 384 divisors, whose sum is σ = 62375040. Its totient is φ = 2985984.

The previous prime is 14152309. The next prime is 14152351. The reversal of 14152320 is 2325141.

14152320 is a `hidden beast` number, since 141 + 523 + 2 + 0 = 666.

14152320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14152320² = 400576322764800, which contains 22 as substring.

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 = 14152293 and 14152302.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 390 × 378 × 96.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088634 + ... + 1088646.

It is an arithmetic number, because the mean of its divisors is an integer number (162435).

Almost surely, 2^14152320 is an apocalyptic number.

14152320 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 14152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

14152320 is an abundant number, since it is smaller than the sum of its proper divisors (48222720).

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

14152320 is an equidigital number, since it uses as much as digits as its factorization.

14152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

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

The square root of 14152320 is about 3761.9569375526. The cubic root of 14152320 is about 241.8851537111.

Adding to 14152320 its reverse (2325141), we get a palindrome (16477461).

The spelling of 14152320 in words is "fourteen million, one hundred fifty-two thousand, three hundred twenty".