130711680 has 192 divisors, whose sum is σ = 492635520. Its totient is φ = 31672320.

The previous prime is 130711661. The next prime is 130711681. The reversal of 130711680 is 86117031.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (130711681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62329 + ... + 64391.

It is an arithmetic number, because the mean of its divisors is an integer number (2565810).

Almost surely, 2^130711680 is an apocalyptic number.

130711680 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 130711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246317760).

130711680 is an abundant number, since it is smaller than the sum of its proper divisors (361923840).

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

130711680 is a wasteful number, since it uses less digits than its factorization.

130711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2084 counting only the distinct ones).

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

The square root of 130711680 is about 11432.9208866326. The cubic root of 130711680 is about 507.5024371582.

The spelling of 130711680 in words is "one hundred thirty million, seven hundred eleven thousand, six hundred eighty".