5136197141250 has 960 divisors, whose sum is σ = 17606140231680. Its totient is φ = 1096532640000.

The previous prime is 5136197141249. The next prime is 5136197141291. The reversal of 5136197141250 is 521417916315.

5136197141250 is a `hidden beast` number, since 5 + 1 + 3 + 619 + 7 + 1 + 4 + 1 + 25 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5136197141196 and 5136197141205.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1911497407 + ... + 1911500093.

It is an arithmetic number, because the mean of its divisors is an integer number (18339729408).

Almost surely, 2^{5136197141250} is an apocalyptic number.

5136197141250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136197141250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803070115840).

5136197141250 is an abundant number, since it is smaller than the sum of its proper divisors (12469943090430).

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

5136197141250 is a wasteful number, since it uses less digits than its factorization.

5136197141250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 5136197141250 in words is "five trillion, one hundred thirty-six billion, one hundred ninety-seven million, one hundred forty-one thousand, two hundred fifty".