5138160 has 80 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1347840.

The previous prime is 5138149. The next prime is 5138167. The reversal of 5138160 is 618315.

5138160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5138160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138167) 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, 18825 + ... + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 2^5138160 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 5138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

5138160 is an abundant number, since it is smaller than the sum of its proper divisors (11051280).

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

5138160 is a wasteful number, since it uses less digits than its factorization.

5138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5138160 is about 2266.7509788241. The cubic root of 5138160 is about 172.5583083707.

The spelling of 5138160 in words is "five million, one hundred thirty-eight thousand, one hundred sixty".