130561632 has 120 divisors (see below), whose sum is σ = 406702296. Its totient is φ = 40946688.

The previous prime is 130561619. The next prime is 130561633. The reversal of 130561632 is 236165031.

130561632 is a `hidden beast` number, since 13 + 0 + 5 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130561596 and 130561605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42583 + ... + 45545.

Almost surely, 2^130561632 is an apocalyptic number.

130561632 is a gapful number since it is divisible by the number (12) 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 130561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203351148).

130561632 is an abundant number, since it is smaller than the sum of its proper divisors (276140664).

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

130561632 is a wasteful number, since it uses less digits than its factorization.

130561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130561632 is about 11426.3568997297. The cubic root of 130561632 is about 507.3081701972.

The spelling of 130561632 in words is "one hundred thirty million, five hundred sixty-one thousand, six hundred thirty-two".