130807168 has 64 divisors (see below), whose sum is σ = 272646000. Its totient is φ = 62433280.

The previous prime is 130807121. The next prime is 130807169. The reversal of 130807168 is 861708031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130807168² = 34221030400360448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807169) 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, 486138 + ... + 486406.

Almost surely, 2^130807168 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 130807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136323000).

130807168 is an abundant number, since it is smaller than the sum of its proper divisors (141838832).

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

130807168 is a wasteful number, since it uses less digits than its factorization.

130807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 130807168 is about 11437.0961349461. The cubic root of 130807168 is about 507.6259879559.

The spelling of 130807168 in words is "one hundred thirty million, eight hundred seven thousand, one hundred sixty-eight".