13845000 has 160 divisors (see below), whose sum is σ = 47234880. Its totient is φ = 3360000.

The previous prime is 13844969. The next prime is 13845001. The reversal of 13845000 is 54831.

It is not an unprimeable number, because it can be changed into a prime (13845001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194965 + ... + 195035.

It is an arithmetic number, because the mean of its divisors is an integer number (295218).

Almost surely, 2^13845000 is an apocalyptic number.

13845000 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 13845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617440).

13845000 is an abundant number, since it is smaller than the sum of its proper divisors (33389880).

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

13845000 is a wasteful number, since it uses less digits than its factorization.

13845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

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

The square root of 13845000 is about 3720.8869910278. The cubic root of 13845000 is about 240.1214662922.

Adding to 13845000 its reverse (54831), we get a palindrome (13899831).

The spelling of 13845000 in words is "thirteen million, eight hundred forty-five thousand".