13788140 has 24 divisors (see below), whose sum is σ = 29037120. Its totient is φ = 5499648.

The previous prime is 13788119. The next prime is 13788157. The reversal of 13788140 is 4188731.

It is a super-2 number, since 2×13788140² = 380225609319200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13788097 and 13788106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8516 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (1209880).

Almost surely, 2^13788140 is an apocalyptic number.

13788140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13788140 is an abundant number, since it is smaller than the sum of its proper divisors (15248980).

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

13788140 is a wasteful number, since it uses less digits than its factorization.

13788140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 13788140 is about 3713.2384787406. The cubic root of 13788140 is about 239.7922971517.

The spelling of 13788140 in words is "thirteen million, seven hundred eighty-eight thousand, one hundred forty".