130281600 has 192 divisors, whose sum is σ = 440909280. Its totient is φ = 33792000.

The previous prime is 130281589. The next prime is 130281607. The reversal of 130281600 is 6182031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130281607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393435 + ... + 393765.

Almost surely, 2^130281600 is an apocalyptic number.

130281600 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 130281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220454640).

130281600 is an abundant number, since it is smaller than the sum of its proper divisors (310627680).

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

130281600 is a wasteful number, since it uses less digits than its factorization.

130281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 130281600 is about 11414.0965476905. The cubic root of 130281600 is about 506.9452146413.

The spelling of 130281600 in words is "one hundred thirty million, two hundred eighty-one thousand, six hundred".