130042304 has 56 divisors (see below), whose sum is σ = 296253408. Its totient is φ = 55480320.

The previous prime is 130042291. The next prime is 130042307. The reversal of 130042304 is 403240031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×130042304² = 33822001659256832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130042307) 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, 125372 + ... + 126404.

Almost surely, 2^130042304 is an apocalyptic number.

130042304 is a gapful number since it is divisible by the number (14) 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 130042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148126704).

130042304 is an abundant number, since it is smaller than the sum of its proper divisors (166211104).

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

130042304 is a wasteful number, since it uses less digits than its factorization.

130042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130042304 is about 11403.6092532145. The cubic root of 130042304 is about 506.6346455602.

Adding to 130042304 its reverse (403240031), we get a palindrome (533282335).

The spelling of 130042304 in words is "one hundred thirty million, forty-two thousand, three hundred four".