14136800 has 72 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 5504000.

The previous prime is 14136781. The next prime is 14136821. The reversal of 14136800 is 863141.

It is a super-2 number, since 2×14136800² = 399698228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32585 + ... + 33015.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^14136800 is an apocalyptic number.

14136800 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 14136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

14136800 is an abundant number, since it is smaller than the sum of its proper divisors (21298432).

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

14136800 is a wasteful number, since it uses less digits than its factorization.

14136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14136800 is about 3759.8936155163. The cubic root of 14136800 is about 241.7967010592.

Adding to 14136800 its reverse (863141), we get a palindrome (14999941).

The spelling of 14136800 in words is "fourteen million, one hundred thirty-six thousand, eight hundred".