130461520 has 120 divisors (see below), whose sum is σ = 368440704. Its totient is φ = 42755328.

The previous prime is 130461481. The next prime is 130461521. The reversal of 130461520 is 25164031.

It is a junction number, because it is equal to n+sod(n) for n = 130461491 and 130461500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130461521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89437 + ... + 90883.

Almost surely, 2^130461520 is an apocalyptic number.

130461520 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 130461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184220352).

130461520 is an abundant number, since it is smaller than the sum of its proper divisors (237979184).

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

130461520 is a wasteful number, since it uses less digits than its factorization.

130461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 130461520 is about 11421.9753107770. The cubic root of 130461520 is about 507.1784725179.

The spelling of 130461520 in words is "one hundred thirty million, four hundred sixty-one thousand, five hundred twenty".