5137968 has 80 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 1509120.

The previous prime is 5137963. The next prime is 5137973. The reversal of 5137968 is 8697315.

It is an interprime number because it is at equal distance from previous prime (5137963) and next prime (5137973).

It is not an unprimeable number, because it can be changed into a prime (5137963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19405 + ... + 19667.

Almost surely, 2^5137968 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 5137968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

5137968 is an abundant number, since it is smaller than the sum of its proper divisors (9789648).

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

5137968 is a wasteful number, since it uses less digits than its factorization.

5137968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 5137968 is about 2266.7086270626. The cubic root of 5137968 is about 172.5561589886.

It can be divided in two parts, 5137 and 968, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5137968 in words is "five million, one hundred thirty-seven thousand, nine hundred sixty-eight".