130205415 has 48 divisors (see below), whose sum is σ = 222173280. Its totient is φ = 65091840.

The previous prime is 130205407. The next prime is 130205417. The reversal of 130205415 is 514502031.

It is not a de Polignac number, because 130205415 - 2³ = 130205407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130205391 and 130205400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130205417) 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, 483901 + ... + 484169.

It is an arithmetic number, because the mean of its divisors is an integer number (4628610).

Almost surely, 2^130205415 is an apocalyptic number.

130205415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130205415 is a deficient number, since it is larger than the sum of its proper divisors (91967865).

130205415 is a wasteful number, since it uses less digits than its factorization.

130205415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 130205415 is about 11410.7587390147. The cubic root of 130205415 is about 506.8463796257.

Adding to 130205415 its reverse (514502031), we get a palindrome (644707446).

The spelling of 130205415 in words is "one hundred thirty million, two hundred five thousand, four hundred fifteen".