130281768 has 96 divisors (see below), whose sum is σ = 362793600. Its totient is φ = 42223104.

The previous prime is 130281763. The next prime is 130281769. The reversal of 130281768 is 867182031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130281763) 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, 544993 + ... + 545231.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^130281768 is an apocalyptic number.

130281768 is a gapful number since it is divisible by the number (18) 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 130281768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

130281768 is an abundant number, since it is smaller than the sum of its proper divisors (232511832).

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

130281768 is a wasteful number, since it uses less digits than its factorization.

130281768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 130281768 is about 11414.1039070091. The cubic root of 130281768 is about 506.9454325456.

The spelling of 130281768 in words is "one hundred thirty million, two hundred eighty-one thousand, seven hundred sixty-eight".