130305024 has 110 divisors (see below), whose sum is σ = 389363964. Its totient is φ = 43407360.

The previous prime is 130305023. The next prime is 130305029. The reversal of 130305024 is 420503031.

130305024 is a `hidden beast` number, since 130 + 30 + 502 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130304988 and 130305006.

It is not an unprimeable number, because it can be changed into a prime (130305023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82159 + ... + 83729.

Almost surely, 2^130305024 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 130305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194681982).

130305024 is an abundant number, since it is smaller than the sum of its proper divisors (259058940).

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

130305024 is an equidigital number, since it uses as much as digits as its factorization.

130305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130305024 is about 11415.1226011813. The cubic root of 130305024 is about 506.9755949178.

Adding to 130305024 its reverse (420503031), we get a palindrome (550808055).

It can be divided in two parts, 1 and 30305024, that added together give a square (30305025 = 5505²).

The spelling of 130305024 in words is "one hundred thirty million, three hundred five thousand, twenty-four".