130183635456 has 400 divisors, whose sum is σ = 450229469184. Its totient is φ = 36679827456.

The previous prime is 130183635443. The next prime is 130183635467. The reversal of 130183635456 is 654536381031.

130183635456 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 8 + 3 + 635 + 4 + 5 + 6 = 666.

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, 21189121 + ... + 21195263.

Almost surely, 2^130183635456 is an apocalyptic number.

130183635456 is a gapful number since it is divisible by the number (16) 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 130183635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225114734592).

130183635456 is an abundant number, since it is smaller than the sum of its proper divisors (320045833728).

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

130183635456 is an frugal number, since it uses more digits than its factorization.

130183635456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 130183635456 in words is "one hundred thirty billion, one hundred eighty-three million, six hundred thirty-five thousand, four hundred fifty-six".