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133157 is a prime number
BaseRepresentation
bin100000100000100101
320202122202
4200200211
513230112
62504245
71063133
oct404045
9222582
10133157
1191052
1265085
13487bb
1436753
15296c2
hex20825

133157 has 2 divisors, whose sum is σ = 133158. Its totient is φ = 133156.

The previous prime is 133153. The next prime is 133169. The reversal of 133157 is 751331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 58081 = 274^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 133157 - 22 = 133153 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133153) by changing a digit.

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 as a sum of consecutive naturals, namely, 66578 + 66579.

It is an arithmetic number, because the mean of its divisors is an integer number (66579).

2133157 is an apocalyptic number.

It is an amenable number.

133157 is a deficient number, since it is larger than the sum of its proper divisors (1).

133157 is an equidigital number, since it uses as much as digits as its factorization.

133157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 20.

The square root of 133157 is about 364.9068374257. The cubic root of 133157 is about 51.0647645748.

Adding to 133157 its reverse (751331), we get a palindrome (884488).

It can be divided in two parts, 13 and 3157, that multiplied together give a triangular number (41041 = T286).

The spelling of 133157 in words is "one hundred thirty-three thousand, one hundred fifty-seven".