Search a number
-
+
137056141 is a prime number
BaseRepresentation
bin10000010101101…
…00111110001101
3100112220011200101
420022310332031
5240041244031
621333331101
73252646405
oct1012647615
9315804611
10137056141
1170401342
1239a96a91
1322519411
14142b9805
15c074361
hex82b4f8d

137056141 has 2 divisors, whose sum is σ = 137056142. Its totient is φ = 137056140.

The previous prime is 137056121. The next prime is 137056147. The reversal of 137056141 is 141650731.

137056141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135233641 + 1822500 = 11629^2 + 1350^2 .

It is a cyclic number.

It is not a de Polignac number, because 137056141 - 25 = 137056109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137056147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68528070 + 68528071.

It is an arithmetic number, because the mean of its divisors is an integer number (68528071).

Almost surely, 2137056141 is an apocalyptic number.

It is an amenable number.

137056141 is a deficient number, since it is larger than the sum of its proper divisors (1).

137056141 is an equidigital number, since it uses as much as digits as its factorization.

137056141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 137056141 is about 11707.0978897419. The cubic root of 137056141 is about 515.5840810920.

The spelling of 137056141 in words is "one hundred thirty-seven million, fifty-six thousand, one hundred forty-one".