130224024 has 160 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 35225280.

The previous prime is 130224013. The next prime is 130224037. The reversal of 130224024 is 420422031.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130223988 and 130224006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85429 + ... + 86939.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^130224024 is an apocalyptic number.

130224024 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 130224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

130224024 is an abundant number, since it is smaller than the sum of its proper divisors (308860776).

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

130224024 is a wasteful number, since it uses less digits than its factorization.

130224024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130224024 is about 11411.5741245457. The cubic root of 130224024 is about 506.8705246916.

Adding to 130224024 its reverse (420422031), we get a palindrome (550646055).

The spelling of 130224024 in words is "one hundred thirty million, two hundred twenty-four thousand, twenty-four".