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135972337 is a prime number
BaseRepresentation
bin10000001101011…
…00010111110001
3100110212002222111
420012230113301
5234302103322
621254205321
73240513544
oct1006542761
9313762874
10135972337
116a831036
1239653841
132222a007
14140b685b
15be0d177
hex81ac5f1

135972337 has 2 divisors, whose sum is σ = 135972338. Its totient is φ = 135972336.

The previous prime is 135972259. The next prime is 135972349. The reversal of 135972337 is 733279531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91470096 + 44502241 = 9564^2 + 6671^2 .

It is a cyclic number.

It is not a de Polignac number, because 135972337 - 227 = 1754609 is a prime.

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 135972337.

It is not a weakly prime, because it can be changed into another prime (135972437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67986168 + 67986169.

It is an arithmetic number, because the mean of its divisors is an integer number (67986169).

Almost surely, 2135972337 is an apocalyptic number.

It is an amenable number.

135972337 is a deficient number, since it is larger than the sum of its proper divisors (1).

135972337 is an equidigital number, since it uses as much as digits as its factorization.

135972337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119070, while the sum is 40.

The square root of 135972337 is about 11660.7176880328. The cubic root of 135972337 is about 514.2214484327.

The spelling of 135972337 in words is "one hundred thirty-five million, nine hundred seventy-two thousand, three hundred thirty-seven".