13800138 has 32 divisors (see below), whose sum is σ = 31421952. Its totient is φ = 3999600.

The previous prime is 13800131. The next prime is 13800151. The reversal of 13800138 is 83100831.

It is not an unprimeable number, because it can be changed into a prime (13800131) 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, 3028 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (981936).

Almost surely, 2^13800138 is an apocalyptic number.

13800138 is an abundant number, since it is smaller than the sum of its proper divisors (17621814).

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

13800138 is a wasteful number, since it uses less digits than its factorization.

13800138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13800138 is about 3714.8536983305. The cubic root of 13800138 is about 239.8618301921.

Adding to 13800138 its reverse (83100831), we get a palindrome (96900969).

It can be divided in two parts, 13800 and 138, that multiplied together give a square (1904400 = 1380²).

The spelling of 13800138 in words is "thirteen million, eight hundred thousand, one hundred thirty-eight".