13835767137 has 16 divisors (see below), whose sum is σ = 18607897920. Its totient is φ = 9143926272.

The previous prime is 13835767117. The next prime is 13835767157. The reversal of 13835767137 is 73176753831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13835767117) and next prime (13835767157).

It is not a de Polignac number, because 13835767137 - 2¹⁶ = 13835701601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13835767137.

It is not an unprimeable number, because it can be changed into a prime (13835767117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280953 + ... + 326505.

It is an arithmetic number, because the mean of its divisors is an integer number (1162993620).

Almost surely, 2^13835767137 is an apocalyptic number.

It is an amenable number.

13835767137 is a deficient number, since it is larger than the sum of its proper divisors (4772130783).

13835767137 is a wasteful number, since it uses less digits than its factorization.

13835767137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46432.

The product of its digits is 2222640, while the sum is 51.

The spelling of 13835767137 in words is "thirteen billion, eight hundred thirty-five million, seven hundred sixty-seven thousand, one hundred thirty-seven".