14257152 has 264 divisors, whose sum is σ = 53647776. Its totient is φ = 3538944.

The previous prime is 14257151. The next prime is 14257153. The reversal of 14257152 is 25175241.

14257152 is a `hidden beast` number, since 1 + 42 + 571 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (14257151) and next prime (14257153).

It is a super-2 number, since 2×14257152² = 406532766302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14257151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838648 + ... + 838664.

Almost surely, 2^14257152 is an apocalyptic number.

14257152 is a gapful number since it is divisible by the number (12) 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 14257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823888).

14257152 is an abundant number, since it is smaller than the sum of its proper divisors (39390624).

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

14257152 is a wasteful number, since it uses less digits than its factorization.

14257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 14257152 is about 3775.8644043451. The cubic root of 14257152 is about 242.4809323584.

The spelling of 14257152 in words is "fourteen million, two hundred fifty-seven thousand, one hundred fifty-two".