130208083200 has 810 divisors, whose sum is σ = 522229201494. Its totient is φ = 31820636160.

The previous prime is 130208083193. The next prime is 130208083231. The reversal of 130208083200 is 2380802031.

130208083200 is a `hidden beast` number, since 1 + 302 + 0 + 80 + 83 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 400640256 + 129807442944 = 20016^2 + 360288^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 89 ways as a sum of consecutive naturals, for example, 936748731 + ... + 936748869.

Almost surely, 2^130208083200 is an apocalyptic number.

130208083200 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 130208083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261114600747).

130208083200 is an abundant number, since it is smaller than the sum of its proper divisors (392021118294).

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

130208083200 is an equidigital number, since it uses as much as digits as its factorization.

130208083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130208083200 its reverse (2380802031), we get a palindrome (132588885231).

It can be divided in two parts, 1302080 and 83200, that added together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 130208083200 in words is "one hundred thirty billion, two hundred eight million, eighty-three thousand, two hundred".