5075136000 has 800 divisors, whose sum is σ = 20854959840. Its totient is φ = 1216512000.

The previous prime is 5075135977. The next prime is 5075136007. The reversal of 5075136000 is 6315705.

5075136000 is a `hidden beast` number, since 5 + 0 + 7 + 51 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5075136007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023956 + ... + 57024044.

Almost surely, 2^5075136000 is an apocalyptic number.

5075136000 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 5075136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427479920).

5075136000 is an abundant number, since it is smaller than the sum of its proper divisors (15779823840).

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

5075136000 is an equidigital number, since it uses as much as digits as its factorization.

5075136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5075136000 is about 71239.9887703528. The cubic root of 5075136000 is about 1718.4987802521.

The spelling of 5075136000 in words is "five billion, seventy-five million, one hundred thirty-six thousand".