130197120 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 31739904.

The previous prime is 130197113. The next prime is 130197149. The reversal of 130197120 is 21791031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568599 + ... + 1568681.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^130197120 is an apocalyptic number.

130197120 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 130197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

130197120 is an abundant number, since it is smaller than the sum of its proper divisors (322193280).

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

130197120 is a wasteful number, since it uses less digits than its factorization.

130197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 130197120 is about 11410.3952604632. The cubic root of 130197120 is about 506.8356161716.

The spelling of 130197120 in words is "one hundred thirty million, one hundred ninety-seven thousand, one hundred twenty".