130205448 has 128 divisors (see below), whose sum is σ = 390096000. Its totient is φ = 40089600.

The previous prime is 130205441. The next prime is 130205477. The reversal of 130205448 is 844502031.

130205448 is a `hidden beast` number, since 13 + 0 + 205 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130205441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216348 + ... + 216948.

It is an arithmetic number, because the mean of its divisors is an integer number (3047625).

Almost surely, 2^130205448 is an apocalyptic number.

130205448 is a gapful number since it is divisible by the number (18) 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 130205448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195048000).

130205448 is an abundant number, since it is smaller than the sum of its proper divisors (259890552).

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

130205448 is a wasteful number, since it uses less digits than its factorization.

130205448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 130205448 is about 11410.7601850183. The cubic root of 130205448 is about 506.8464224450.

Adding to 130205448 its reverse (844502031), we get a palindrome (974707479).

The spelling of 130205448 in words is "one hundred thirty million, two hundred five thousand, four hundred forty-eight".