13818500 has 48 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 5331200.

The previous prime is 13818487. The next prime is 13818503. The reversal of 13818500 is 581831.

It can be written as a sum of positive squares in 8 ways, for example, as 4866436 + 8952064 = 2206^2 + 2992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13818500.

It is not an unprimeable number, because it can be changed into a prime (13818503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14024 + ... + 14976.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 2^13818500 is an apocalyptic number.

13818500 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 13818500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

13818500 is an abundant number, since it is smaller than the sum of its proper divisors (17434540).

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

13818500 is a wasteful number, since it uses less digits than its factorization.

13818500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 13818500 is about 3717.3243065409. The cubic root of 13818500 is about 239.9681670743.

The spelling of 13818500 in words is "thirteen million, eight hundred eighteen thousand, five hundred".