14545800 has 72 divisors (see below), whose sum is σ = 48855690. Its totient is φ = 3878400.

The previous prime is 14545787. The next prime is 14545807. The reversal of 14545800 is 854541.

It can be written as a sum of positive squares in 3 ways, for example, as 9696996 + 4848804 = 3114^2 + 2202^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2241 + ... + 5840.

Almost surely, 2^14545800 is an apocalyptic number.

14545800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14545800 is an abundant number, since it is smaller than the sum of its proper divisors (34309890).

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

14545800 is a wasteful number, since it uses less digits than its factorization.

14545800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14545800 is about 3813.8956461865. The cubic root of 14545800 is about 244.1064213726.

The spelling of 14545800 in words is "fourteen million, five hundred forty-five thousand, eight hundred".