130804968 has 128 divisors (see below), whose sum is σ = 402969600. Its totient is φ = 34546176.

The previous prime is 130804967. The next prime is 130805009. The reversal of 130804968 is 869408031.

It is a Cunningham number, because it is equal to 11437²-1.

It is not an unprimeable number, because it can be changed into a prime (130804963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136780 + ... + 137732.

It is an arithmetic number, because the mean of its divisors is an integer number (3148200).

Almost surely, 2^130804968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130804968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201484800).

130804968 is an abundant number, since it is smaller than the sum of its proper divisors (272164632).

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

130804968 is a wasteful number, since it uses less digits than its factorization.

130804968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 130804968 is about 11436.9999562822. Note that the first 4 decimals coincide. The cubic root of 130804968 is about 507.6231420787.

The spelling of 130804968 in words is "one hundred thirty million, eight hundred four thousand, nine hundred sixty-eight".