130338432 has 144 divisors (see below), whose sum is σ = 436486050. Its totient is φ = 37223424.

The previous prime is 130338431. The next prime is 130338443. The reversal of 130338432 is 234833031.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 38638656 = 9576^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 130338396 and 130338405.

It is not an unprimeable number, because it can be changed into a prime (130338431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55294 + ... + 57602.

Almost surely, 2^130338432 is an apocalyptic number.

130338432 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 130338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218243025).

130338432 is an abundant number, since it is smaller than the sum of its proper divisors (306147618).

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

130338432 is a wasteful number, since it uses less digits than its factorization.

130338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130338432 is about 11416.5858293975. The cubic root of 130338432 is about 507.0189178660.

The spelling of 130338432 in words is "one hundred thirty million, three hundred thirty-eight thousand, four hundred thirty-two".