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137787841 is a prime number
BaseRepresentation
bin10000011011001…
…11100111000001
3100121021100101101
420031213213001
5240233202331
621401134401
73262114552
oct1015474701
9317240341
10137787841
1170861054
123a18a401
1322714489
141442a329
15c16b061
hex83679c1

137787841 has 2 divisors, whose sum is σ = 137787842. Its totient is φ = 137787840.

The previous prime is 137787817. The next prime is 137787847. The reversal of 137787841 is 148787731.

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., 135839025 + 1948816 = 11655^2 + 1396^2 .

It is a cyclic number.

It is not a de Polignac number, because 137787841 - 223 = 129399233 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137787791 and 137787800.

It is not a weakly prime, because it can be changed into another prime (137787847) 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, 68893920 + 68893921.

It is an arithmetic number, because the mean of its divisors is an integer number (68893921).

Almost surely, 2137787841 is an apocalyptic number.

It is an amenable number.

137787841 is a deficient number, since it is larger than the sum of its proper divisors (1).

137787841 is an equidigital number, since it uses as much as digits as its factorization.

137787841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 263424, while the sum is 46.

The square root of 137787841 is about 11738.3065644070. The cubic root of 137787841 is about 516.4999673567.

The spelling of 137787841 in words is "one hundred thirty-seven million, seven hundred eighty-seven thousand, eight hundred forty-one".