14156800 has 132 divisors (see below), whose sum is σ = 40612480. Its totient is φ = 4792320.

The previous prime is 14156797. The next prime is 14156809. The reversal of 14156800 is 865141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14156809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179161 + ... + 179239.

Almost surely, 2^14156800 is an apocalyptic number.

14156800 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 14156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306240).

14156800 is an abundant number, since it is smaller than the sum of its proper divisors (26455680).

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

14156800 is an equidigital number, since it uses as much as digits as its factorization.

14156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 14156800 is about 3762.5523252176. The cubic root of 14156800 is about 241.9106744070.

The spelling of 14156800 in words is "fourteen million, one hundred fifty-six thousand, eight hundred".