130042368 has 160 divisors (see below), whose sum is σ = 402652800. Its totient is φ = 41361408.

The previous prime is 130042361. The next prime is 130042369. The reversal of 130042368 is 863240031.

It is a happy number.

It is a super-2 number, since 2×130042368² = 33822034950094848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130042361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317748 + ... + 318156.

It is an arithmetic number, because the mean of its divisors is an integer number (2516580).

Almost surely, 2^130042368 is an apocalyptic number.

130042368 is a gapful number since it is divisible by the number (18) 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 130042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326400).

130042368 is an abundant number, since it is smaller than the sum of its proper divisors (272610432).

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

130042368 is an equidigital number, since it uses as much as digits as its factorization.

130042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130042368 is about 11403.6120593433. The cubic root of 130042368 is about 506.6347286732.

Adding to 130042368 its reverse (863240031), we get a palindrome (993282399).

The spelling of 130042368 in words is "one hundred thirty million, forty-two thousand, three hundred sixty-eight".