130225253760 has 576 divisors, whose sum is σ = 534286134720. Its totient is φ = 29129490432.

The previous prime is 130225253759. The next prime is 130225253783. The reversal of 130225253760 is 67352522031.

130225253760 is a `hidden beast` number, since 1 + 30 + 2 + 252 + 5 + 376 + 0 = 666.

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

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, 13260372 + ... + 13270188.

It is an arithmetic number, because the mean of its divisors is an integer number (927580095).

Almost surely, 2^130225253760 is an apocalyptic number.

130225253760 is a gapful number since it is divisible by the number (10) 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 130225253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267143067360).

130225253760 is an abundant number, since it is smaller than the sum of its proper divisors (404060880960).

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

130225253760 is a wasteful number, since it uses less digits than its factorization.

130225253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 130225253760 its reverse (67352522031), we get a palindrome (197577775791).

The spelling of 130225253760 in words is "one hundred thirty billion, two hundred twenty-five million, two hundred fifty-three thousand, seven hundred sixty".