13682142 has 32 divisors (see below), whose sum is σ = 31456800. Its totient is φ = 4402944.

The previous prime is 13682101. The next prime is 13682177. The reversal of 13682142 is 24128631.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 2803 + ... + 5934.

It is an arithmetic number, because the mean of its divisors is an integer number (983025).

Almost surely, 2^13682142 is an apocalyptic number.

13682142 is an abundant number, since it is smaller than the sum of its proper divisors (17774658).

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

13682142 is a wasteful number, since it uses less digits than its factorization.

13682142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8771 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13682142 is about 3698.9379556840. The cubic root of 13682142 is about 239.1762383044.

It can be divided in two parts, 13682 and 142, that added together give a cube (13824 = 24³).

The spelling of 13682142 in words is "thirteen million, six hundred eighty-two thousand, one hundred forty-two".