130284742224 has 640 divisors, whose sum is σ = 450531164160. Its totient is φ = 31488694272.

The previous prime is 130284742223. The next prime is 130284742229. The reversal of 130284742224 is 422247482031.

It is a super-2 number, since 2×130284742224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130284742223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 495379117 + ... + 495379379.

It is an arithmetic number, because the mean of its divisors is an integer number (703954944).

Almost surely, 2^130284742224 is an apocalyptic number.

130284742224 is a gapful number since it is divisible by the number (14) 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 130284742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225265582080).

130284742224 is an abundant number, since it is smaller than the sum of its proper divisors (320246421936).

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

130284742224 is a wasteful number, since it uses less digits than its factorization.

130284742224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 130284742224 in words is "one hundred thirty billion, two hundred eighty-four million, seven hundred forty-two thousand, two hundred twenty-four".