5136768 has 192 divisors, whose sum is σ = 18564000. Its totient is φ = 1354752.

The previous prime is 5136757. The next prime is 5136773. The reversal of 5136768 is 8676315.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (30240) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395130 + ... + 395142.

Almost surely, 2^5136768 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 5136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282000).

5136768 is an abundant number, since it is smaller than the sum of its proper divisors (13427232).

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

5136768 is a wasteful number, since it uses less digits than its factorization.

5136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5136768 is about 2266.4439106230. The cubic root of 5136768 is about 172.5427241370.

The spelling of 5136768 in words is "five million, one hundred thirty-six thousand, seven hundred sixty-eight".