130125600 has 432 divisors, whose sum is σ = 526466304. Its totient is φ = 29952000.

The previous prime is 130125571. The next prime is 130125601. The reversal of 130125600 is 6521031.

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 (130125601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2455174 + ... + 2455226.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^130125600 is an apocalyptic number.

130125600 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 130125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

130125600 is an abundant number, since it is smaller than the sum of its proper divisors (396340704).

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

130125600 is a wasteful number, since it uses less digits than its factorization.

130125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130125600 is about 11407.2608456193. The cubic root of 130125600 is about 506.7427940398.

Adding to 130125600 its reverse (6521031), we get a palindrome (136646631).

The spelling of 130125600 in words is "one hundred thirty million, one hundred twenty-five thousand, six hundred".