130414208 has 64 divisors (see below), whose sum is σ = 279200520. Its totient is φ = 60456960.

The previous prime is 130414201. The next prime is 130414213. The reversal of 130414208 is 802414031.

130414208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 116812864 + 13601344 = 10808^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (130414201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158438 + ... + 159258.

Almost surely, 2^130414208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139600260).

130414208 is an abundant number, since it is smaller than the sum of its proper divisors (148786312).

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

130414208 is an equidigital number, since it uses as much as digits as its factorization.

130414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 130414208 is about 11419.9040276177. The cubic root of 130414208 is about 507.1171555126.

Adding to 130414208 its reverse (802414031), we get a palindrome (932828239).

The spelling of 130414208 in words is "one hundred thirty million, four hundred fourteen thousand, two hundred eight".