130017600 has 126 divisors (see below), whose sum is σ = 462164430. Its totient is φ = 34667520.

The previous prime is 130017583. The next prime is 130017607. The reversal of 130017600 is 6710031.

It can be written as a sum of positive squares in 3 ways, for example, as 44195904 + 85821696 = 6648^2 + 9264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130017607) 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, 9886 + ... + 18914.

Almost surely, 2^130017600 is an apocalyptic number.

130017600 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 130017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231082215).

130017600 is an abundant number, since it is smaller than the sum of its proper divisors (332146830).

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

130017600 is a wasteful number, since it uses less digits than its factorization.

130017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130017600 is about 11402.5260359273. The cubic root of 130017600 is about 506.6025619112.

Adding to 130017600 its reverse (6710031), we get a palindrome (136727631).

The spelling of 130017600 in words is "one hundred thirty million, seventeen thousand, six hundred".