130217280 has 224 divisors, whose sum is σ = 447690240. Its totient is φ = 31948800.

The previous prime is 130217257. The next prime is 130217281. The reversal of 130217280 is 82712031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130217280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130217281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289230 + ... + 1289330.

Almost surely, 2^130217280 is an apocalyptic number.

130217280 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 130217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223845120).

130217280 is an abundant number, since it is smaller than the sum of its proper divisors (317472960).

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

130217280 is a wasteful number, since it uses less digits than its factorization.

130217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 130217280 is about 11411.2786312490. The cubic root of 130217280 is about 506.8617746578.

It can be divided in two parts, 13021 and 7280, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 130217280 in words is "one hundred thirty million, two hundred seventeen thousand, two hundred eighty".