130561920 has 192 divisors, whose sum is σ = 474973200. Its totient is φ = 32956416.

The previous prime is 130561919. The next prime is 130561927. The reversal of 130561920 is 29165031.

130561920 = 1125² + 1126² + ... + 1219².

130561920 is a `hidden beast` number, since 13 + 0 + 561 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561927) 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, 108844 + ... + 110036.

Almost surely, 2^130561920 is an apocalyptic number.

130561920 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 130561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237486600).

130561920 is an abundant number, since it is smaller than the sum of its proper divisors (344411280).

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

130561920 is a wasteful number, since it uses less digits than its factorization.

130561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 130561920 is about 11426.3695021647. The cubic root of 130561920 is about 507.3085432130.

The spelling of 130561920 in words is "one hundred thirty million, five hundred sixty-one thousand, nine hundred twenty".