5157120 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1277952.

The previous prime is 5157101. The next prime is 5157133. The reversal of 5157120 is 217515.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65241 + ... + 65319.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^5157120 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 5157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5157120 is an abundant number, since it is smaller than the sum of its proper divisors (12503040).

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

5157120 is a wasteful number, since it uses less digits than its factorization.

5157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 5157120 is about 2270.9293251883. The cubic root of 5157120 is about 172.7702966777.

The spelling of 5157120 in words is "five million, one hundred fifty-seven thousand, one hundred twenty".