130419216 has 60 divisors (see below), whose sum is σ = 368794972. Its totient is φ = 43020288.

The previous prime is 130419203. The next prime is 130419217. The reversal of 130419216 is 612914031.

130419216 is a `hidden beast` number, since 1 + 30 + 419 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96825600 + 33593616 = 9840^2 + 5796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130419216.

It is not an unprimeable number, because it can be changed into a prime (130419217) 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, 9300 + ... + 18636.

Almost surely, 2^130419216 is an apocalyptic number.

130419216 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 130419216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184397486).

130419216 is an abundant number, since it is smaller than the sum of its proper divisors (238375756).

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

130419216 is a wasteful number, since it uses less digits than its factorization.

130419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130419216 is about 11420.1232918038. The cubic root of 130419216 is about 507.1236466514.

The spelling of 130419216 in words is "one hundred thirty million, four hundred nineteen thousand, two hundred sixteen".