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137410561 is a prime number
BaseRepresentation
bin10000011000010…
…11100000000001
3100120120011212001
420030023200001
5240134114221
621345104001
73255653611
oct1014134001
9316504761
10137410561
1170623652
123a028001
1322611832
141436ca41
15c0e4391
hex830b801

137410561 has 2 divisors, whose sum is σ = 137410562. Its totient is φ = 137410560.

The previous prime is 137410543. The next prime is 137410573. The reversal of 137410561 is 165014731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 8814961 = 11340^2 + 2969^2 .

It is a cyclic number.

It is not a de Polignac number, because 137410561 - 27 = 137410433 is a prime.

It is not a weakly prime, because it can be changed into another prime (137416561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68705280 + 68705281.

It is an arithmetic number, because the mean of its divisors is an integer number (68705281).

Almost surely, 2137410561 is an apocalyptic number.

It is an amenable number.

137410561 is a deficient number, since it is larger than the sum of its proper divisors (1).

137410561 is an equidigital number, since it uses as much as digits as its factorization.

137410561 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 137410561 is about 11722.2250874141. The cubic root of 137410561 is about 516.0281230290.

It can be divided in two parts, 1374 and 10561, that added together give a triangular number (11935 = T154).

The spelling of 137410561 in words is "one hundred thirty-seven million, four hundred ten thousand, five hundred sixty-one".