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137435761 is a prime number
BaseRepresentation
bin10000011000100…
…01101001110001
3100120121110102101
420030101221301
5240140421021
621345420401
73256120231
oct1014215161
9316543371
10137435761
1170640581
123a03a701
1322620148
1414377cc1
15c0eba91
hex8311a71

137435761 has 2 divisors, whose sum is σ = 137435762. Its totient is φ = 137435760.

The previous prime is 137435743. The next prime is 137435777. The reversal of 137435761 is 167534731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 67963536 = 8335^2 + 8244^2 .

It is a cyclic number.

It is not a de Polignac number, because 137435761 - 25 = 137435729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137435761.

It is not a weakly prime, because it can be changed into another prime (137435791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68717880 + 68717881.

It is an arithmetic number, because the mean of its divisors is an integer number (68717881).

Almost surely, 2137435761 is an apocalyptic number.

It is an amenable number.

137435761 is a deficient number, since it is larger than the sum of its proper divisors (1).

137435761 is an equidigital number, since it uses as much as digits as its factorization.

137435761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 137435761 is about 11723.2999193913. The cubic root of 137435761 is about 516.0596662470.

The spelling of 137435761 in words is "one hundred thirty-seven million, four hundred thirty-five thousand, seven hundred sixty-one".