Search a number
-
+
137539273 is a prime number
BaseRepresentation
bin10000011001010…
…10111011001001
3100120210201102011
420030222323021
5240202224043
621351535521
73260031064
oct1014527311
9316721364
10137539273
1170701323
123a08a5a1
13226582b1
14143a38db
15c11c59d
hex832aec9

137539273 has 2 divisors, whose sum is σ = 137539274. Its totient is φ = 137539272.

The previous prime is 137539253. The next prime is 137539277. The reversal of 137539273 is 372935731.

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., 131721529 + 5817744 = 11477^2 + 2412^2 .

It is a cyclic number.

It is not a de Polignac number, because 137539273 - 221 = 135442121 is a prime.

It is not a weakly prime, because it can be changed into another prime (137539277) 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, 68769636 + 68769637.

It is an arithmetic number, because the mean of its divisors is an integer number (68769637).

Almost surely, 2137539273 is an apocalyptic number.

It is an amenable number.

137539273 is a deficient number, since it is larger than the sum of its proper divisors (1).

137539273 is an equidigital number, since it uses as much as digits as its factorization.

137539273 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 137539273 is about 11727.7138863463. The cubic root of 137539273 is about 516.1891933377.

The spelling of 137539273 in words is "one hundred thirty-seven million, five hundred thirty-nine thousand, two hundred seventy-three".