5145120 has 120 divisors (see below), whose sum is σ = 18203724. Its totient is φ = 1368576.

The previous prime is 5145083. The next prime is 5145139. The reversal of 5145120 is 215415.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 1296 = 2268^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5145093 and 5145102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12762 + ... + 13158.

Almost surely, 2^5145120 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 5145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101862).

5145120 is an abundant number, since it is smaller than the sum of its proper divisors (13058604).

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

5145120 is a wasteful number, since it uses less digits than its factorization.

5145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5145120 is about 2268.2856962914. The cubic root of 5145120 is about 172.6361873489.

The spelling of 5145120 in words is "five million, one hundred forty-five thousand, one hundred twenty".