137686743168 has 256 divisors, whose sum is σ = 406723645440. Its totient is φ = 40998666240.

The previous prime is 137686743101. The next prime is 137686743241. The reversal of 137686743168 is 861347686731.

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 31 ways as a sum of consecutive naturals, for example, 25990696 + ... + 25995992.

It is an arithmetic number, because the mean of its divisors is an integer number (1588764240).

Almost surely, 2^137686743168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137686743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203361822720).

137686743168 is an abundant number, since it is smaller than the sum of its proper divisors (269036902272).

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

137686743168 is a wasteful number, since it uses less digits than its factorization.

137686743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5483 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 137686743168 in words is "one hundred thirty-seven billion, six hundred eighty-six million, seven hundred forty-three thousand, one hundred sixty-eight".