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135415937 is a prime number
BaseRepresentation
bin10000001001001…
…00100010000001
3100102210211202002
420010210202001
5234131302222
621234233345
73233005436
oct1004444201
9312724662
10135415937
116a490aa8
1239425855
1322093997
1413dadb8d
15bd4d392
hex8124881

135415937 has 2 divisors, whose sum is σ = 135415938. Its totient is φ = 135415936.

The previous prime is 135415921. The next prime is 135415939. The reversal of 135415937 is 739514531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85303696 + 50112241 = 9236^2 + 7079^2 .

It is a cyclic number.

It is not a de Polignac number, because 135415937 - 24 = 135415921 is a prime.

Together with 135415939, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135415937.

It is not a weakly prime, because it can be changed into another prime (135415939) 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, 67707968 + 67707969.

It is an arithmetic number, because the mean of its divisors is an integer number (67707969).

Almost surely, 2135415937 is an apocalyptic number.

It is an amenable number.

135415937 is a deficient number, since it is larger than the sum of its proper divisors (1).

135415937 is an equidigital number, since it uses as much as digits as its factorization.

135415937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56700, while the sum is 38.

The square root of 135415937 is about 11636.8353515894. The cubic root of 135415937 is about 513.5190899762.

The spelling of 135415937 in words is "one hundred thirty-five million, four hundred fifteen thousand, nine hundred thirty-seven".