13800120 has 32 divisors (see below), whose sum is σ = 41400720. Its totient is φ = 3680000.

The previous prime is 13800113. The next prime is 13800121. The reversal of 13800120 is 2100831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13800120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800121) 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 7 ways as a sum of consecutive naturals, for example, 57381 + ... + 57620.

Almost surely, 2^13800120 is an apocalyptic number.

13800120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13800120 is an abundant number, since it is smaller than the sum of its proper divisors (27600600).

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

13800120 is a wasteful number, since it uses less digits than its factorization.

13800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115015 (or 115011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13800120 is about 3714.8512756233. The cubic root of 13800120 is about 239.8617259053.

Adding to 13800120 its reverse (2100831), we get a palindrome (15900951).

The spelling of 13800120 in words is "thirteen million, eight hundred thousand, one hundred twenty".