130836229841520 has 1920 divisors, whose sum is σ = 557232660541440. Its totient is φ = 26823213711360.

The previous prime is 130836229841483. The next prime is 130836229841561. The reversal of 130836229841520 is 25148922638031.

130836229841520 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 3 + 6 + 22 + 98 + 4 + 1 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99043322460 + ... + 99043323780.

It is an arithmetic number, because the mean of its divisors is an integer number (290225344032).

Almost surely, 2^{130836229841520} is an apocalyptic number.

130836229841520 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 130836229841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278616330270720).

130836229841520 is an abundant number, since it is smaller than the sum of its proper divisors (426396430699920).

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

130836229841520 is a wasteful number, since it uses less digits than its factorization.

130836229841520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 130836229841520 in words is "one hundred thirty trillion, eight hundred thirty-six billion, two hundred twenty-nine million, eight hundred forty-one thousand, five hundred twenty".