13835630137 has 32 divisors (see below), whose sum is σ = 16288521984. Its totient is φ = 11508864000.

The previous prime is 13835630131. The next prime is 13835630147. The reversal of 13835630137 is 73103653831.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13835630137 is a prime.

It is a super-2 number, since 2×13835630137² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13835630137.

It is not an unprimeable number, because it can be changed into a prime (13835630131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8038437 + ... + 8040157.

It is an arithmetic number, because the mean of its divisors is an integer number (509016312).

Almost surely, 2^13835630137 is an apocalyptic number.

It is an amenable number.

13835630137 is a deficient number, since it is larger than the sum of its proper divisors (2452891847).

13835630137 is a wasteful number, since it uses less digits than its factorization.

13835630137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049.

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 13835630137 in words is "thirteen billion, eight hundred thirty-five million, six hundred thirty thousand, one hundred thirty-seven".