5137105456314 has 144 divisors (see below), whose sum is σ = 12233341855800. Its totient is φ = 1557055678464.

The previous prime is 5137105456297. The next prime is 5137105456393. The reversal of 5137105456314 is 4136545017315.

5137105456314 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 1 + 0 + 5 + 4 + 5 + 631 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 105082947225 + 5032022509089 = 324165^2 + 2243217^2 .

It is a super-3 number, since 3×5137105456314³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5137105456314.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 72793254 + ... + 72863790.

Almost surely, 2^{5137105456314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137105456314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116670927900).

5137105456314 is an abundant number, since it is smaller than the sum of its proper divisors (7096236399486).

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

5137105456314 is a wasteful number, since it uses less digits than its factorization.

5137105456314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70929 (or 70913 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5137105456314 in words is "five trillion, one hundred thirty-seven billion, one hundred five million, four hundred fifty-six thousand, three hundred fourteen".