130270133448 has 648 divisors, whose sum is σ = 461577695670. Its totient is φ = 33059819520.

The previous prime is 130270133437. The next prime is 130270133453. The reversal of 130270133448 is 844331072031.

130270133448 is a `hidden beast` number, since 1 + 30 + 270 + 13 + 344 + 8 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5772656484 + 124497476964 = 75978^2 + 352842^2 .

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

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 1784522340 + ... + 1784522412.

Almost surely, 2^130270133448 is an apocalyptic number.

130270133448 is a gapful number since it is divisible by the number (18) 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 130270133448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230788847835).

130270133448 is an abundant number, since it is smaller than the sum of its proper divisors (331307562222).

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

130270133448 is a wasteful number, since it uses less digits than its factorization.

130270133448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 130270133448 in words is "one hundred thirty billion, two hundred seventy million, one hundred thirty-three thousand, four hundred forty-eight".