130505760 has 432 divisors, whose sum is σ = 564677568. Its totient is φ = 26864640.

The previous prime is 130505743. The next prime is 130505801. The reversal of 130505760 is 67505031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1219627 + ... + 1219733.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^130505760 is an apocalyptic number.

130505760 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 130505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

130505760 is an abundant number, since it is smaller than the sum of its proper divisors (434171808).

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

130505760 is a wasteful number, since it uses less digits than its factorization.

130505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 130505760 is about 11423.9117643651. The cubic root of 130505760 is about 507.2357947584.

The spelling of 130505760 in words is "one hundred thirty million, five hundred five thousand, seven hundred sixty".