Search a number
-
+
137428769 is a prime number
BaseRepresentation
bin10000011000011…
…11111100100001
3100120121002211102
420030033330201
5240140210034
621345324145
73256060652
oct1014177441
9316532742
10137428769
11706362a5
123a036655
1322619bca
1414375529
15c0e997e
hex830ff21

137428769 has 2 divisors, whose sum is σ = 137428770. Its totient is φ = 137428768.

The previous prime is 137428763. The next prime is 137428777. The reversal of 137428769 is 967824731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133102369 + 4326400 = 11537^2 + 2080^2 .

It is a cyclic number.

It is not a de Polignac number, because 137428769 - 28 = 137428513 is a prime.

It is a super-2 number, since 2×1374287692 = 37773333097710722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137428763) 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, 68714384 + 68714385.

It is an arithmetic number, because the mean of its divisors is an integer number (68714385).

Almost surely, 2137428769 is an apocalyptic number.

It is an amenable number.

137428769 is a deficient number, since it is larger than the sum of its proper divisors (1).

137428769 is an equidigital number, since it uses as much as digits as its factorization.

137428769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The square root of 137428769 is about 11723.0017060478. The cubic root of 137428769 is about 516.0509146423.

The spelling of 137428769 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, seven hundred sixty-nine".