130089600 has 144 divisors (see below), whose sum is σ = 464292270. Its totient is φ = 34682880.

The previous prime is 130089571. The next prime is 130089607. The reversal of 130089600 is 6980031.

It can be written as a sum of positive squares in 3 ways, for example, as 50808384 + 79281216 = 7128^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (130089607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26542 + ... + 31058.

Almost surely, 2^130089600 is an apocalyptic number.

130089600 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 130089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232146135).

130089600 is an abundant number, since it is smaller than the sum of its proper divisors (334202670).

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

130089600 is a wasteful number, since it uses less digits than its factorization.

130089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130089600 is about 11405.6827941163. The cubic root of 130089600 is about 506.6960586212.

The spelling of 130089600 in words is "one hundred thirty million, eighty-nine thousand, six hundred".