Search a number
-
+
137325733 is a prime number
BaseRepresentation
bin10000010111101…
…10110010100101
3100120101212111021
420023312302211
5240123410413
621343211141
73255151366
oct1013666245
9316355437
10137325733
1170575946
1239ba6ab1
13225b203c
1414349b6d
15c0c918d
hex82f6ca5

137325733 has 2 divisors, whose sum is σ = 137325734. Its totient is φ = 137325732.

The previous prime is 137325719. The next prime is 137325767. The reversal of 137325733 is 337523731.

137325733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (137325767) can be obtained adding 137325733 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94906564 + 42419169 = 9742^2 + 6513^2 .

It is a cyclic number.

It is not a de Polignac number, because 137325733 - 221 = 135228581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137325233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68662866 + 68662867.

It is an arithmetic number, because the mean of its divisors is an integer number (68662867).

Almost surely, 2137325733 is an apocalyptic number.

It is an amenable number.

137325733 is a deficient number, since it is larger than the sum of its proper divisors (1).

137325733 is an equidigital number, since it uses as much as digits as its factorization.

137325733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39690, while the sum is 34.

The square root of 137325733 is about 11718.6062737853. The cubic root of 137325733 is about 515.9219142000.

The spelling of 137325733 in words is "one hundred thirty-seven million, three hundred twenty-five thousand, seven hundred thirty-three".