130955685120 has 1728 divisors, whose sum is σ = 569687328000. Its totient is φ = 28203614208.

The previous prime is 130955685023. The next prime is 130955685127. The reversal of 130955685120 is 21586559031.

130955685120 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 556 + 85 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130955685127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4515713266 + ... + 4515713294.

Almost surely, 2^130955685120 is an apocalyptic number.

130955685120 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 130955685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284843664000).

130955685120 is an abundant number, since it is smaller than the sum of its proper divisors (438731642880).

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

130955685120 is a wasteful number, since it uses less digits than its factorization.

130955685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 130955685120 in words is "one hundred thirty billion, nine hundred fifty-five million, six hundred eighty-five thousand, one hundred twenty".