130752 has 42 divisors (see below), whose sum is σ = 376428. Its totient is φ = 43392.

The previous prime is 130729. The next prime is 130769. The reversal of 130752 is 257031.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130752.

It is an unprimeable number.

130752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463 + ... + 689.

2¹³⁰⁷⁵² is an apocalyptic number.

130752 is a gapful number since it is divisible by the number (12) 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 130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188214).

130752 is an abundant number, since it is smaller than the sum of its proper divisors (245676).

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

130752 is a wasteful number, since it uses less digits than its factorization.

130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 130752 is about 361.5964601597. The cubic root of 130752 is about 50.7554614068.

Adding to 130752 its reverse (257031), we get a palindrome (387783).

The spelling of 130752 in words is "one hundred thirty thousand, seven hundred fifty-two".