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133541 is a prime number
BaseRepresentation
bin100000100110100101
320210011222
4200212211
513233131
62510125
71064222
oct404645
9223158
10133541
1191371
1265345
1348a25
1436949
152987b
hex209a5

133541 has 2 divisors, whose sum is σ = 133542. Its totient is φ = 133540.

The previous prime is 133519. The next prime is 133543. The reversal of 133541 is 145331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112225 + 21316 = 335^2 + 146^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133541 is a prime.

Together with 133543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66770 + 66771.

It is an arithmetic number, because the mean of its divisors is an integer number (66771).

2133541 is an apocalyptic number.

It is an amenable number.

133541 is a deficient number, since it is larger than the sum of its proper divisors (1).

133541 is an equidigital number, since it uses as much as digits as its factorization.

133541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 133541 is about 365.4326203283. The cubic root of 133541 is about 51.1138045560.

Adding to 133541 its reverse (145331), we get a palindrome (278872).

The spelling of 133541 in words is "one hundred thirty-three thousand, five hundred forty-one".