5144135040 has 768 divisors, whose sum is σ = 20958013440. Its totient is φ = 1194393600.

The previous prime is 5144135033. The next prime is 5144135099. The reversal of 5144135040 is 405314415.

It is a happy number.

5144135040 is a `hidden beast` number, since 5 + 144 + 13 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5144134995 and 5144135013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53032272 + ... + 53032368.

It is an arithmetic number, because the mean of its divisors is an integer number (27289080).

Almost surely, 2^5144135040 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 5144135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479006720).

5144135040 is an abundant number, since it is smaller than the sum of its proper divisors (15813878400).

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

5144135040 is a wasteful number, since it uses less digits than its factorization.

5144135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5144135040 is about 71722.6257188065. The cubic root of 5144135040 is about 1726.2517039883.

Adding to 5144135040 its reverse (405314415), we get a palindrome (5549449455).

The spelling of 5144135040 in words is "five billion, one hundred forty-four million, one hundred thirty-five thousand, forty".