5145288120 has 192 divisors, whose sum is σ = 19501560000. Its totient is φ = 1176037632.

The previous prime is 5145288097. The next prime is 5145288131. The reversal of 5145288120 is 218825415.

5145288120 is a `hidden beast` number, since 5 + 1 + 4 + 528 + 8 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102646 + ... + 144314.

It is an arithmetic number, because the mean of its divisors is an integer number (101570625).

Almost surely, 2^5145288120 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 5145288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750780000).

5145288120 is an abundant number, since it is smaller than the sum of its proper divisors (14356271880).

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

5145288120 is a wasteful number, since it uses less digits than its factorization.

5145288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41707 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5145288120 is about 71730.6637359505. The cubic root of 5145288120 is about 1726.3806766009.

The spelling of 5145288120 in words is "five billion, one hundred forty-five million, two hundred eighty-eight thousand, one hundred twenty".