130057216 has 44 divisors (see below), whose sum is σ = 262638288. Its totient is φ = 64366592.

The previous prime is 130057159. The next prime is 130057217. The reversal of 130057216 is 612750031.

130057216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130057217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108975 + ... + 110161.

It is an arithmetic number, because the mean of its divisors is an integer number (5969052).

Almost surely, 2^130057216 is an apocalyptic number.

130057216 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 130057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131319144).

130057216 is an abundant number, since it is smaller than the sum of its proper divisors (132581072).

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

130057216 is a wasteful number, since it uses less digits than its factorization.

130057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 130057216 is about 11404.2630625569. The cubic root of 130057216 is about 506.6540101486.

The spelling of 130057216 in words is "one hundred thirty million, fifty-seven thousand, two hundred sixteen".