5138120 has 64 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 1843200.

The previous prime is 5138117. The next prime is 5138137. The reversal of 5138120 is 218315.

5138120 = T₄₈₀ + T₄₈₁ + ... + T₅₂₀.

It can be written as a sum of positive squares in 8 ways, for example, as 669124 + 4468996 = 818^2 + 2114^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5138092 and 5138101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21200 + ... + 21440.

Almost surely, 2^5138120 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 5138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

5138120 is an abundant number, since it is smaller than the sum of its proper divisors (7668520).

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

5138120 is a wasteful number, since it uses less digits than its factorization.

5138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5138120 is about 2266.7421556057. The cubic root of 5138120 is about 172.5578605872.

The spelling of 5138120 in words is "five million, one hundred thirty-eight thousand, one hundred twenty".