130181760 has 192 divisors, whose sum is σ = 456117480. Its totient is φ = 34209792.

The previous prime is 130181729. The next prime is 130181791. The reversal of 130181760 is 67181031.

It is an interprime number because it is at equal distance from previous prime (130181729) and next prime (130181791).

It can be written as a sum of positive squares in 4 ways, for example, as 82737216 + 47444544 = 9096^2 + 6888^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558604 + ... + 558836.

Almost surely, 2^130181760 is an apocalyptic number.

130181760 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 130181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228058740).

130181760 is an abundant number, since it is smaller than the sum of its proper divisors (325935720).

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

130181760 is a wasteful number, since it uses less digits than its factorization.

130181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

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

The square root of 130181760 is about 11409.7221701495. The cubic root of 130181760 is about 506.8156840840.

The spelling of 130181760 in words is "one hundred thirty million, one hundred eighty-one thousand, seven hundred sixty".