Search a number
-
+
137741221 is a prime number
BaseRepresentation
bin10000011010111…
…00001110100101
3100121011222102201
420031130032211
5240230204341
621400134501
73261531622
oct1015341645
9317158381
10137741221
117082a022
123a167431
13226c91a7
1414417349
15c15c331
hex835c3a5

137741221 has 2 divisors, whose sum is σ = 137741222. Its totient is φ = 137741220.

The previous prime is 137741209. The next prime is 137741231. The reversal of 137741221 is 122147731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101909025 + 35832196 = 10095^2 + 5986^2 .

It is a cyclic number.

It is not a de Polignac number, because 137741221 - 25 = 137741189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137741221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137741231) 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, 68870610 + 68870611.

It is an arithmetic number, because the mean of its divisors is an integer number (68870611).

Almost surely, 2137741221 is an apocalyptic number.

It is an amenable number.

137741221 is a deficient number, since it is larger than the sum of its proper divisors (1).

137741221 is an equidigital number, since it uses as much as digits as its factorization.

137741221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 28.

The square root of 137741221 is about 11736.3205903724. The cubic root of 137741221 is about 516.4417088424.

Adding to 137741221 its reverse (122147731), we get a palindrome (259888952).

The spelling of 137741221 in words is "one hundred thirty-seven million, seven hundred forty-one thousand, two hundred twenty-one".