5185100345136 has 160 divisors (see below), whose sum is σ = 14091193344000. Its totient is φ = 1640916126720.

The previous prime is 5185100345119. The next prime is 5185100345153. The reversal of 5185100345136 is 6315430015815.

It is an interprime number because it is at equal distance from previous prime (5185100345119) and next prime (5185100345153).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18315190 + ... + 18596138.

It is an arithmetic number, because the mean of its divisors is an integer number (88069958400).

Almost surely, 2^{5185100345136} 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 5185100345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045596672000).

5185100345136 is an abundant number, since it is smaller than the sum of its proper divisors (8906092998864).

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

5185100345136 is a wasteful number, since it uses less digits than its factorization.

5185100345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281227 (or 281221 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 5185100345136 in words is "five trillion, one hundred eighty-five billion, one hundred million, three hundred forty-five thousand, one hundred thirty-six".