130189824 has 120 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 41084928.

The previous prime is 130189819. The next prime is 130189841. The reversal of 130189824 is 428981031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86809 + ... + 88295.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^130189824 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 130189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

130189824 is an abundant number, since it is smaller than the sum of its proper divisors (265588416).

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

130189824 is a wasteful number, since it uses less digits than its factorization.

130189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 130189824 is about 11410.0755475150. The cubic root of 130189824 is about 506.8261486255.

It can be divided in two parts, 1301 and 89824, that added together give a cube (91125 = 45³).

The spelling of 130189824 in words is "one hundred thirty million, one hundred eighty-nine thousand, eight hundred twenty-four".