130741632 has 192 divisors, whose sum is σ = 444687360. Its totient is φ = 36080640.

The previous prime is 130741631. The next prime is 130741643. The reversal of 130741632 is 236147031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130741596 and 130741605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130741631) 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, 249723 + ... + 250245.

It is an arithmetic number, because the mean of its divisors is an integer number (2316080).

Almost surely, 2^130741632 is an apocalyptic number.

130741632 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 130741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222343680).

130741632 is an abundant number, since it is smaller than the sum of its proper divisors (313945728).

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

130741632 is a wasteful number, since it uses less digits than its factorization.

130741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130741632 is about 11434.2307130825. The cubic root of 130741632 is about 507.5411981730.

Adding to 130741632 its reverse (236147031), we get a palindrome (366888663).

It can be divided in two parts, 13074 and 1632, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 130741632 in words is "one hundred thirty million, seven hundred forty-one thousand, six hundred thirty-two".