130935168 has 192 divisors, whose sum is σ = 464100000. Its totient is φ = 34504704.

The previous prime is 130935163. The next prime is 130935169. The reversal of 130935168 is 861539031.

It is a happy number.

130935168 is a `hidden beast` number, since 130 + 9 + 3 + 516 + 8 = 666.

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

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 (130935163) 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, 104208 + ... + 105456.

Almost surely, 2^130935168 is an apocalyptic number.

130935168 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 130935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232050000).

130935168 is an abundant number, since it is smaller than the sum of its proper divisors (333164832).

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

130935168 is a wasteful number, since it uses less digits than its factorization.

130935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 130935168 is about 11442.6905926884. The cubic root of 130935168 is about 507.7915113623.

The spelling of 130935168 in words is "one hundred thirty million, nine hundred thirty-five thousand, one hundred sixty-eight".