130252824000 has 1008 divisors, whose sum is σ = 525809846016. Its totient is φ = 30564864000.

The previous prime is 130252823993. The next prime is 130252824019. The reversal of 130252824000 is 428252031.

130252824000 is a `hidden beast` number, since 1 + 3 + 0 + 252 + 8 + 2 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1944071967 + ... + 1944072033.

It is an arithmetic number, because the mean of its divisors is an integer number (521636752).

Almost surely, 2^130252824000 is an apocalyptic number.

130252824000 is a gapful number since it is divisible by the number (10) 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 130252824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262904923008).

130252824000 is an abundant number, since it is smaller than the sum of its proper divisors (395557022016).

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

130252824000 is a wasteful number, since it uses less digits than its factorization.

130252824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 130252824000 in words is "one hundred thirty billion, two hundred fifty-two million, eight hundred twenty-four thousand".