Search a number
-
+
137147429 is a prime number
BaseRepresentation
bin10000010110010…
…11010000100101
3100120001210220102
420023023100211
5240102204204
621335313445
73253506506
oct1013132045
9316053812
10137147429
1170463991
1239b1b885
132254bb33
1414300bad
15c09141e
hex82cb425

137147429 has 2 divisors, whose sum is σ = 137147430. Its totient is φ = 137147428.

The previous prime is 137147407. The next prime is 137147443. The reversal of 137147429 is 924741731.

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., 103530625 + 33616804 = 10175^2 + 5798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137147429 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137147392 and 137147401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137147489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68573714 + 68573715.

It is an arithmetic number, because the mean of its divisors is an integer number (68573715).

Almost surely, 2137147429 is an apocalyptic number.

It is an amenable number.

137147429 is a deficient number, since it is larger than the sum of its proper divisors (1).

137147429 is an equidigital number, since it uses as much as digits as its factorization.

137147429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 137147429 is about 11710.9960720683. The cubic root of 137147429 is about 515.6985261492.

The spelling of 137147429 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, four hundred twenty-nine".