130464 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 43200.

The previous prime is 130457. The next prime is 130469. The reversal of 130464 is 464031.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (130469) by changing a digit.

130464 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 7 ways as a sum of consecutive naturals, for example, 789 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹³⁰⁴⁶⁴ 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 130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

130464 is an abundant number, since it is smaller than the sum of its proper divisors (252576).

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

130464 is a wasteful number, since it uses less digits than its factorization.

130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130464 is about 361.1980066390. The cubic root of 130464 is about 50.7181686223.

Adding to 130464 its reverse (464031), we get a palindrome (594495).

The spelling of 130464 in words is "one hundred thirty thousand, four hundred sixty-four".