137449431168 has 192 divisors, whose sum is σ = 425159215200. Its totient is φ = 39229575168.

The previous prime is 137449431121. The next prime is 137449431173. The reversal of 137449431168 is 861134944731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×137449431168² (a number of 23 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 137449431168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20637823 + ... + 20644481.

Almost surely, 2^137449431168 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 137449431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212579607600).

137449431168 is an abundant number, since it is smaller than the sum of its proper divisors (287709784032).

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

137449431168 is a wasteful number, since it uses less digits than its factorization.

137449431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7768 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 137449431168 in words is "one hundred thirty-seven billion, four hundred forty-nine million, four hundred thirty-one thousand, one hundred sixty-eight".