132064 has 12 divisors (see below), whose sum is σ = 260064. Its totient is φ = 66016.

The previous prime is 132059. The next prime is 132071. The reversal of 132064 is 460231.

132064 = 10² + 11² + ... + 73².

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 1 + 3⁶ + 0 + 2¹⁷ + 6 + 4⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2032 + ... + 2095.

It is an arithmetic number, because the mean of its divisors is an integer number (21672).

2¹³²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

132064 is a deficient number, since it is larger than the sum of its proper divisors (128000).

132064 is an equidigital number, since it uses as much as digits as its factorization.

132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132064 is about 363.4061089195. The cubic root of 132064 is about 50.9246612856.

Adding to 132064 its reverse (460231), we get a palindrome (592295).

The spelling of 132064 in words is "one hundred thirty-two thousand, sixty-four".