137838814113 has 96 divisors (see below), whose sum is σ = 261716761600. Its totient is φ = 62617484160.

The previous prime is 137838814103. The next prime is 137838814117. The reversal of 137838814113 is 311418838731.

It is not a de Polignac number, because 137838814113 - 2⁹ = 137838813601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137838814117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517818 + ... + 737436.

Almost surely, 2^137838814113 is an apocalyptic number.

137838814113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137838814113 is a deficient number, since it is larger than the sum of its proper divisors (123877947487).

137838814113 is a wasteful number, since it uses less digits than its factorization.

137838814113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219683 (or 219672 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The spelling of 137838814113 in words is "one hundred thirty-seven billion, eight hundred thirty-eight million, eight hundred fourteen thousand, one hundred thirteen".