130354560 has 384 divisors, whose sum is σ = 532733760. Its totient is φ = 28753920.

The previous prime is 130354559. The next prime is 130354561. The reversal of 130354560 is 65453031.

It is an interprime number because it is at equal distance from previous prime (130354559) and next prime (130354561).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×130354560² = 33984622625587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130354561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136930 + ... + 2136990.

Almost surely, 2^130354560 is an apocalyptic number.

130354560 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 130354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266366880).

130354560 is an abundant number, since it is smaller than the sum of its proper divisors (402379200).

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

130354560 is a wasteful number, since it uses less digits than its factorization.

130354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130354560 is about 11417.2921483161. The cubic root of 130354560 is about 507.0398297432.

The spelling of 130354560 in words is "one hundred thirty million, three hundred fifty-four thousand, five hundred sixty".