130659200 has 192 divisors, whose sum is σ = 389558400. Its totient is φ = 42301440.

The previous prime is 130659197. The next prime is 130659223. The reversal of 130659200 is 2956031.

130659200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 130659200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425447 + ... + 425753.

It is an arithmetic number, because the mean of its divisors is an integer number (2028950).

Almost surely, 2^130659200 is an apocalyptic number.

130659200 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 130659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194779200).

130659200 is an abundant number, since it is smaller than the sum of its proper divisors (258899200).

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

130659200 is a wasteful number, since it uses less digits than its factorization.

130659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 130659200 is about 11430.6255296900. The cubic root of 130659200 is about 507.4345082806.

It can be divided in two parts, 1306 and 59200, that added together give a palindrome (60506).

The spelling of 130659200 in words is "one hundred thirty million, six hundred fifty-nine thousand, two hundred".