130181688 has 256 divisors, whose sum is σ = 459648000. Its totient is φ = 33219072.

The previous prime is 130181687. The next prime is 130181707. The reversal of 130181688 is 886181031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130181687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727183 + ... + 727361.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^130181688 is an apocalyptic number.

130181688 is a gapful number since it is divisible by the number (18) 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 130181688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

130181688 is an abundant number, since it is smaller than the sum of its proper divisors (329466312).

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

130181688 is a wasteful number, since it uses less digits than its factorization.

130181688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 130181688 is about 11409.7190149451. The cubic root of 130181688 is about 506.8155906486.

It can be divided in two parts, 13018 and 1688, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 130181688 in words is "one hundred thirty million, one hundred eighty-one thousand, six hundred eighty-eight".