130930905600 has 1440 divisors, whose sum is σ = 550679754240. Its totient is φ = 30412800000.

The previous prime is 130930905563. The next prime is 130930905661. The reversal of 130930905600 is 6509039031.

130930905600 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 3 + 0 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×130930905600² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1296345550 + ... + 1296345650.

It is an arithmetic number, because the mean of its divisors is an integer number (382416496).

Almost surely, 2^130930905600 is an apocalyptic number.

130930905600 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 130930905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275339877120).

130930905600 is an abundant number, since it is smaller than the sum of its proper divisors (419748848640).

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

130930905600 is a wasteful number, since it uses less digits than its factorization.

130930905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 130930905600 in words is "one hundred thirty billion, nine hundred thirty million, nine hundred five thousand, six hundred".