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135900137 is a prime number
BaseRepresentation
bin10000001100110…
…10101111101001
3100110201102221102
420012122233221
5234242301022
621252451145
73240063212
oct1006325751
9313642842
10135900137
116a79186a
1239619ab5
13222031a9
1414098409
15bde6a92
hex819abe9

135900137 has 2 divisors, whose sum is σ = 135900138. Its totient is φ = 135900136.

The previous prime is 135900101. The next prime is 135900143. The reversal of 135900137 is 731009531.

135900137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77774761 + 58125376 = 8819^2 + 7624^2 .

It is a cyclic number.

It is not a de Polignac number, because 135900137 - 212 = 135896041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135900197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67950068 + 67950069.

It is an arithmetic number, because the mean of its divisors is an integer number (67950069).

Almost surely, 2135900137 is an apocalyptic number.

It is an amenable number.

135900137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135900137 is an equidigital number, since it uses as much as digits as its factorization.

135900137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 135900137 is about 11657.6214126210. The cubic root of 135900137 is about 514.1304167747.

Adding to 135900137 its reverse (731009531), we get a palindrome (866909668).

The spelling of 135900137 in words is "one hundred thirty-five million, nine hundred thousand, one hundred thirty-seven".