130312560 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 29766912.

The previous prime is 130312513. The next prime is 130312577. The reversal of 130312560 is 65213031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 81529 + ... + 83111.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^130312560 is an apocalyptic number.

130312560 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 130312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

130312560 is an abundant number, since it is smaller than the sum of its proper divisors (341085840).

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

130312560 is a wasteful number, since it uses less digits than its factorization.

130312560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130312560 is about 11415.4526848479. The cubic root of 130312560 is about 506.9853681261.

Adding to 130312560 its reverse (65213031), we get a palindrome (195525591).

The spelling of 130312560 in words is "one hundred thirty million, three hundred twelve thousand, five hundred sixty".