130273625328 has 320 divisors, whose sum is σ = 427515494400. Its totient is φ = 33202990080.

The previous prime is 130273625281. The next prime is 130273625329. The reversal of 130273625328 is 823526372031.

It is a super-2 number, since 2×130273625328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 130273625328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130273625329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50511943 + ... + 50514521.

It is an arithmetic number, because the mean of its divisors is an integer number (1335985920).

Almost surely, 2^130273625328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130273625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213757747200).

130273625328 is an abundant number, since it is smaller than the sum of its proper divisors (297241869072).

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

130273625328 is a wasteful number, since it uses less digits than its factorization.

130273625328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 130273625328 its reverse (823526372031), we get a palindrome (953799997359).

The spelling of 130273625328 in words is "one hundred thirty billion, two hundred seventy-three million, six hundred twenty-five thousand, three hundred twenty-eight".