130177680 has 80 divisors (see below), whose sum is σ = 416592384. Its totient is φ = 33592320.

The previous prime is 130177679. The next prime is 130177681. The reversal of 130177680 is 86771031.

It is an interprime number because it is at equal distance from previous prime (130177679) and next prime (130177681).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130177681) 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, 1309 + ... + 16188.

Almost surely, 2^130177680 is an apocalyptic number.

130177680 is a gapful number since it is divisible by the number (10) 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 130177680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208296192).

130177680 is an abundant number, since it is smaller than the sum of its proper divisors (286414704).

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

130177680 is a wasteful number, since it uses less digits than its factorization.

130177680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17544 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 130177680 is about 11409.5433738603. The cubic root of 130177680 is about 506.8103893597.

The spelling of 130177680 in words is "one hundred thirty million, one hundred seventy-seven thousand, six hundred eighty".