5137585200 has 180 divisors, whose sum is σ = 19449802008. Its totient is φ = 1245465600.

The previous prime is 5137585183. The next prime is 5137585241. The reversal of 5137585200 is 25857315.

5137585200 is a `hidden beast` number, since 5 + 1 + 375 + 85 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 25269 + ... + 104468.

Almost surely, 2^5137585200 is an apocalyptic number.

5137585200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724901004).

5137585200 is an abundant number, since it is smaller than the sum of its proper divisors (14312216808).

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

5137585200 is a wasteful number, since it uses less digits than its factorization.

5137585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129772 (or 129758 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5137585200 is about 71676.9502699438. The cubic root of 5137585200 is about 1725.5187349818.

The spelling of 5137585200 in words is "five billion, one hundred thirty-seven million, five hundred eighty-five thousand, two hundred".