130801968 has 90 divisors (see below), whose sum is σ = 402421292. Its totient is φ = 39631680.

The previous prime is 130801963. The next prime is 130801973. The reversal of 130801968 is 869108031.

It is an interprime number because it is at equal distance from previous prime (130801963) and next prime (130801973).

It is a super-3 number, since 3×130801968³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130801963) 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, 13671 + ... + 21177.

Almost surely, 2^130801968 is an apocalyptic number.

130801968 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 130801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201210646).

130801968 is an abundant number, since it is smaller than the sum of its proper divisors (271619324).

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

130801968 is a wasteful number, since it uses less digits than its factorization.

130801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 130801968 is about 11436.8688022553. The cubic root of 130801968 is about 507.6192612855.

Adding to 130801968 its reverse (869108031), we get a palindrome (999909999).

It can be divided in two parts, 130801 and 968, that added together give a square (131769 = 363²).

The spelling of 130801968 in words is "one hundred thirty million, eight hundred one thousand, nine hundred sixty-eight".