14156400 has 120 divisors (see below), whose sum is σ = 46497024. Its totient is φ = 3680000.

The previous prime is 14156399. The next prime is 14156407. The reversal of 14156400 is 465141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14156407) 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, 56275 + ... + 56525.

Almost surely, 2^14156400 is an apocalyptic number.

14156400 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 14156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

14156400 is an abundant number, since it is smaller than the sum of its proper divisors (32340624).

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

14156400 is a wasteful number, since it uses less digits than its factorization.

14156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 14156400 is about 3762.4991694351. The cubic root of 14156400 is about 241.9083959924.

It can be divided in two parts, 141 and 56400, that multiplied together give a square (7952400 = 2820²).

The spelling of 14156400 in words is "fourteen million, one hundred fifty-six thousand, four hundred".