130669200 has 300 divisors, whose sum is σ = 486054580. Its totient is φ = 33592320.

The previous prime is 130669193. The next prime is 130669211. The reversal of 130669200 is 2966031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4511376 + 126157824 = 2124^2 + 11232^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198746 + ... + 1198854.

Almost surely, 2^130669200 is an apocalyptic number.

130669200 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 130669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243027290).

130669200 is an abundant number, since it is smaller than the sum of its proper divisors (355385380).

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

130669200 is a wasteful number, since it uses less digits than its factorization.

130669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130669200 is about 11431.0629427013. The cubic root of 130669200 is about 507.4474534479.

The spelling of 130669200 in words is "one hundred thirty million, six hundred sixty-nine thousand, two hundred".