13782135 has 32 divisors (see below), whose sum is σ = 23058432. Its totient is φ = 7021440.

The previous prime is 13782133. The next prime is 13782137. The reversal of 13782135 is 53128731.

It is an interprime number because it is at equal distance from previous prime (13782133) and next prime (13782137).

It is not a de Polignac number, because 13782135 - 2¹ = 13782133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49617 + ... + 49893.

It is an arithmetic number, because the mean of its divisors is an integer number (720576).

Almost surely, 2^13782135 is an apocalyptic number.

13782135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13782135 is a deficient number, since it is larger than the sum of its proper divisors (9276297).

13782135 is a wasteful number, since it uses less digits than its factorization.

13782135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its digits is 5040, while the sum is 30.

The square root of 13782135 is about 3712.4297973160. The cubic root of 13782135 is about 239.7574807120.

The spelling of 13782135 in words is "thirteen million, seven hundred eighty-two thousand, one hundred thirty-five".