130506120 has 128 divisors (see below), whose sum is σ = 438480000. Its totient is φ = 34525440.

The previous prime is 130506083. The next prime is 130506133. The reversal of 130506120 is 21605031.

130506120 is a `hidden beast` number, since 1 + 3 + 0 + 50 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130506093 and 130506102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160515 + ... + 161325.

It is an arithmetic number, because the mean of its divisors is an integer number (3425625).

Almost surely, 2^130506120 is an apocalyptic number.

130506120 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 130506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219240000).

130506120 is an abundant number, since it is smaller than the sum of its proper divisors (307973880).

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

130506120 is a wasteful number, since it uses less digits than its factorization.

130506120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130506120 is about 11423.9275207785. The cubic root of 130506120 is about 507.2362611611.

The spelling of 130506120 in words is "one hundred thirty million, five hundred six thousand, one hundred twenty".