130306176 has 384 divisors, whose sum is σ = 507911040. Its totient is φ = 30965760.

The previous prime is 130306157. The next prime is 130306177. The reversal of 130306176 is 671603031.

130306176 is a `hidden beast` number, since 13 + 0 + 30 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130306177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153096 + ... + 1153208.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^130306176 is an apocalyptic number.

130306176 is a gapful number since it is divisible by the number (16) 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 130306176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

130306176 is an abundant number, since it is smaller than the sum of its proper divisors (377604864).

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

130306176 is a wasteful number, since it uses less digits than its factorization.

130306176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130306176 is about 11415.1730604490. The cubic root of 130306176 is about 506.9770889358.

The spelling of 130306176 in words is "one hundred thirty million, three hundred six thousand, one hundred seventy-six".