5134562126100 has 216 divisors, whose sum is σ = 18481148693280. Its totient is φ = 1179229536000.

The previous prime is 5134562126051. The next prime is 5134562126167. The reversal of 5134562126100 is 16212654315.

5134562126100 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 5 + 621 + 26 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13460391 + ... + 13836590.

It is an arithmetic number, because the mean of its divisors is an integer number (85560873580).

Almost surely, 2^{5134562126100} is an apocalyptic number.

5134562126100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5134562126100 is an abundant number, since it is smaller than the sum of its proper divisors (13346586567180).

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

5134562126100 is a wasteful number, since it uses less digits than its factorization.

5134562126100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27297031 (or 27297021 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5134562126100 in words is "five trillion, one hundred thirty-four billion, five hundred sixty-two million, one hundred twenty-six thousand, one hundred".