130171680 has 72 divisors (see below), whose sum is σ = 444215772. Its totient is φ = 34712064.

The previous prime is 130171663. The next prime is 130171681. The reversal of 130171680 is 86171031.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 22924944 = 10356^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (130171681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43759 + ... + 46638.

Almost surely, 2^130171680 is an apocalyptic number.

130171680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130171680 is an abundant number, since it is smaller than the sum of its proper divisors (314044092).

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

130171680 is a wasteful number, since it uses less digits than its factorization.

130171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90418 (or 90407 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 130171680 is about 11409.2804330510. The cubic root of 130171680 is about 506.8026027994.

The spelling of 130171680 in words is "one hundred thirty million, one hundred seventy-one thousand, six hundred eighty".