130315444 has 72 divisors (see below), whose sum is σ = 280264320. Its totient is φ = 51871680.

The previous prime is 130315441. The next prime is 130315453. The reversal of 130315444 is 444513031.

It is a super-2 number, since 2×130315444² = 33964229889834272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130315441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780249 + ... + 780415.

It is an arithmetic number, because the mean of its divisors is an integer number (3892560).

Almost surely, 2^130315444 is an apocalyptic number.

130315444 is a gapful number since it is divisible by the number (14) 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 130315444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

130315444 is an abundant number, since it is smaller than the sum of its proper divisors (149948876).

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

130315444 is a wasteful number, since it uses less digits than its factorization.

130315444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 130315444 is about 11415.5790041504. The cubic root of 130315444 is about 506.9891081980.

Adding to 130315444 its reverse (444513031), we get a palindrome (574828475).

The spelling of 130315444 in words is "one hundred thirty million, three hundred fifteen thousand, four hundred forty-four".