130512480 has 288 divisors, whose sum is σ = 496419840. Its totient is φ = 28707840.

The previous prime is 130512469. The next prime is 130512491. The reversal of 130512480 is 84215031.

It is an interprime number because it is at equal distance from previous prime (130512469) and next prime (130512491).

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 130512480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729031 + ... + 729209.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^130512480 is an apocalyptic number.

130512480 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 130512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

130512480 is an abundant number, since it is smaller than the sum of its proper divisors (365907360).

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

130512480 is a wasteful number, since it uses less digits than its factorization.

130512480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 130512480 is about 11424.2058804978. The cubic root of 130512480 is about 507.2445008008.

The spelling of 130512480 in words is "one hundred thirty million, five hundred twelve thousand, four hundred eighty".