130268320 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 39333888.

The previous prime is 130268309. The next prime is 130268363. The reversal of 130268320 is 23862031.

130268320 = 300² + 301² + ... + 747².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334686 + ... + 335074.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^130268320 is an apocalyptic number.

130268320 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 130268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

130268320 is an abundant number, since it is smaller than the sum of its proper divisors (265996640).

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

130268320 is a wasteful number, since it uses less digits than its factorization.

130268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 130268320 is about 11413.5147960652. The cubic root of 130268320 is about 506.9279892331.

The spelling of 130268320 in words is "one hundred thirty million, two hundred sixty-eight thousand, three hundred twenty".