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132126 = 2319261
BaseRepresentation
bin100000010000011110
320201020120
4200100132
513212001
62455410
71060131
oct402036
9221216
10132126
11902a5
1264566
13481a7
1436218
1529236
hex2041e

132126 has 24 divisors (see below), whose sum is σ = 283464. Its totient is φ = 41040.

The previous prime is 132113. The next prime is 132137. The reversal of 132126 is 621231.

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

It is a congruent number.

It is an unprimeable number.

132126 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 11 ways as a sum of consecutive naturals, for example, 2136 + ... + 2196.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2132126 is an apocalyptic number.

132126 is an abundant number, since it is smaller than the sum of its proper divisors (151338).

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

132126 is a wasteful number, since it uses less digits than its factorization.

132126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 132126 is about 363.4914029245. The cubic root of 132126 is about 50.9326292280.

Adding to 132126 its reverse (621231), we get a palindrome (753357).

The spelling of 132126 in words is "one hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 19 38 57 61 114 122 183 361 366 722 1083 1159 2166 2318 3477 6954 22021 44042 66063 132126