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132133 = 229577
BaseRepresentation
bin100000010000100101
320201020211
4200100211
513212013
62455421
71060141
oct402045
9221224
10132133
1190301
1264571
13481b1
1436221
152923d
hex20425

132133 has 4 divisors (see below), whose sum is σ = 132940. Its totient is φ = 131328.

The previous prime is 132113. The next prime is 132137. The reversal of 132133 is 331231.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 128164 + 3969 = 358^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 132133 - 213 = 123941 is a prime.

It is an Ulam number.

It is the 364-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132137) by changing a digit.

It is a nontrivial repunit in base 363.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (33235).

2132133 is an apocalyptic number.

It is an amenable number.

132133 is a deficient number, since it is larger than the sum of its proper divisors (807).

132133 is an equidigital number, since it uses as much as digits as its factorization.

132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806.

The product of its digits is 54, while the sum is 13.

The square root of 132133 is about 363.5010316354. The cubic root of 132133 is about 50.9335286778.

Adding to 132133 its reverse (331231), we get a palindrome (463364).

The spelling of 132133 in words is "one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 229 577 132133