132464 has 20 divisors (see below), whose sum is σ = 272304. Its totient is φ = 62208.

The previous prime is 132439. The next prime is 132469. The reversal of 132464 is 464231.

It is a happy number.

It is a super-2 number, since 2×132464² = 35093422592, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 3³ + 4 + 2¹⁷ + 6⁴ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 515.

2¹³²⁴⁶⁴ 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 132464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152).

132464 is an abundant number, since it is smaller than the sum of its proper divisors (139840).

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

132464 is a wasteful number, since it uses less digits than its factorization.

132464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 132464 is about 363.9560413017. The cubic root of 132464 is about 50.9760235882.

Adding to 132464 its reverse (464231), we get a palindrome (596695).

The spelling of 132464 in words is "one hundred thirty-two thousand, four hundred sixty-four".