130369824 has 240 divisors, whose sum is σ = 426461112. Its totient is φ = 38817792.

The previous prime is 130369801. The next prime is 130369831. The reversal of 130369824 is 428963031.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 23619600 = 10332^2 + 4860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1785852 + ... + 1785924.

Almost surely, 2^130369824 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 130369824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213230556).

130369824 is an abundant number, since it is smaller than the sum of its proper divisors (296091288).

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

130369824 is a wasteful number, since it uses less digits than its factorization.

130369824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 130369824 is about 11417.9605884764. The cubic root of 130369824 is about 507.0596197526.

The spelling of 130369824 in words is "one hundred thirty million, three hundred sixty-nine thousand, eight hundred twenty-four".