130638432 has 48 divisors (see below), whose sum is σ = 345265200. Its totient is φ = 43249152.

The previous prime is 130638407. The next prime is 130638437. The reversal of 130638432 is 234836031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130638432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130638437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9738 + ... + 18870.

It is an arithmetic number, because the mean of its divisors is an integer number (7193025).

Almost surely, 2^130638432 is an apocalyptic number.

130638432 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 130638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172632600).

130638432 is an abundant number, since it is smaller than the sum of its proper divisors (214626768).

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

130638432 is a wasteful number, since it uses less digits than its factorization.

130638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 130638432 is about 11429.7170568654. The cubic root of 130638432 is about 507.4076216466.

The spelling of 130638432 in words is "one hundred thirty million, six hundred thirty-eight thousand, four hundred thirty-two".