130536 has 72 divisors (see below), whose sum is σ = 422370. Its totient is φ = 36288.

The previous prime is 130531. The next prime is 130547. The reversal of 130536 is 635031.

130536 is a `hidden beast` number, since 130 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 44100 = 294^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (130531) by changing a digit.

130536 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 17 ways as a sum of consecutive naturals, for example, 3510 + ... + 3546.

2¹³⁰⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211185).

130536 is an abundant number, since it is smaller than the sum of its proper divisors (291834).

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

130536 is a wasteful number, since it uses less digits than its factorization.

130536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130536 is about 361.2976612158. The cubic root of 130536 is about 50.7274969596.

Adding to 130536 its reverse (635031), we get a palindrome (765567).

It can be divided in two parts, 130 and 536, that added together give a palindrome (666).

The spelling of 130536 in words is "one hundred thirty thousand, five hundred thirty-six".