5107134240 has 240 divisors, whose sum is σ = 19411024248. Its totient is φ = 1257099264.

The previous prime is 5107134229. The next prime is 5107134269. The reversal of 5107134240 is 424317015.

5107134240 is a `hidden beast` number, since 510 + 71 + 3 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4250518416 + 856615824 = 65196^2 + 29268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 153324 + ... + 183636.

Almost surely, 2^5107134240 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 5107134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9705512124).

5107134240 is an abundant number, since it is smaller than the sum of its proper divisors (14303890008).

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

5107134240 is a wasteful number, since it uses less digits than its factorization.

5107134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30353 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5107134240 is about 71464.2165002878. The cubic root of 5107134240 is about 1722.1028723644.

The spelling of 5107134240 in words is "five billion, one hundred seven million, one hundred thirty-four thousand, two hundred forty".