132864 has 36 divisors (see below), whose sum is σ = 355656. Its totient is φ = 44032.

The previous prime is 132863. The next prime is 132887. The reversal of 132864 is 468231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (1152) is a multiple of the sum of its prime factors (192).

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132863) 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, 682 + ... + 854.

2^{132864} 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 132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177828).

132864 is an abundant number, since it is smaller than the sum of its proper divisors (222792).

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

132864 is an equidigital number, since it uses as much as digits as its factorization.

132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 132864 is about 364.5051439966. The cubic root of 132864 is about 51.0272825959.

The spelling of 132864 in words is "one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 44288 66432 132864

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