5130134323200 has 576 divisors, whose sum is σ = 19176634648080. Its totient is φ = 1308512747520.

The previous prime is 5130134323183. The next prime is 5130134323247. The reversal of 5130134323200 is 23234310315.

5130134323200 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 134 + 323 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169559274 + ... + 169589526.

Almost surely, 2^{5130134323200} is an apocalyptic number.

5130134323200 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 5130134323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588317324040).

5130134323200 is an abundant number, since it is smaller than the sum of its proper divisors (14046500324880).

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

5130134323200 is a wasteful number, since it uses less digits than its factorization.

5130134323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30322 (or 30286 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 5130134323200 its reverse (23234310315), we get a palindrome (5153368633515).

The spelling of 5130134323200 in words is "five trillion, one hundred thirty billion, one hundred thirty-four million, three hundred twenty-three thousand, two hundred".