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137756461 is a prime number
BaseRepresentation
bin10000011010111…
…11111100101101
3100121012202100011
420031133330231
5240231201321
621400333221
73261624223
oct1015377455
9317182304
10137756461
117083a517
123a174211
13227030cb
141441cb13
15c161ae1
hex835ff2d

137756461 has 2 divisors, whose sum is σ = 137756462. Its totient is φ = 137756460.

The previous prime is 137756459. The next prime is 137756473. The reversal of 137756461 is 164657731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135256900 + 2499561 = 11630^2 + 1581^2 .

It is a cyclic number.

It is not a de Polignac number, because 137756461 - 21 = 137756459 is a prime.

Together with 137756459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137756161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68878230 + 68878231.

It is an arithmetic number, because the mean of its divisors is an integer number (68878231).

Almost surely, 2137756461 is an apocalyptic number.

It is an amenable number.

137756461 is a deficient number, since it is larger than the sum of its proper divisors (1).

137756461 is an equidigital number, since it uses as much as digits as its factorization.

137756461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 40.

The square root of 137756461 is about 11736.9698389320. The cubic root of 137756461 is about 516.4607548993.

The spelling of 137756461 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, four hundred sixty-one".