130185216 has 144 divisors (see below), whose sum is σ = 430138800. Its totient is φ = 37158912.

The previous prime is 130185197. The next prime is 130185217. The reversal of 130185216 is 612581031.

130185216 is a `hidden beast` number, since 130 + 1 + 8 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 130185216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130185217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128520 + ... + 129528.

It is an arithmetic number, because the mean of its divisors is an integer number (2987075).

Almost surely, 2^130185216 is an apocalyptic number.

130185216 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 130185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215069400).

130185216 is an abundant number, since it is smaller than the sum of its proper divisors (299953584).

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

130185216 is a wasteful number, since it uses less digits than its factorization.

130185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 130185216 is about 11409.8736189320. The cubic root of 130185216 is about 506.8201689404.

The spelling of 130185216 in words is "one hundred thirty million, one hundred eighty-five thousand, two hundred sixteen".