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137683141 is a prime number
BaseRepresentation
bin10000011010011…
…10000011000101
3100121002000202121
420031032003011
5240221330031
621355005541
73261200401
oct1015160305
9317060677
10137683141
117079a422
123a1398b1
13226a891b
1414400101
15c14a011
hex834e0c5

137683141 has 2 divisors, whose sum is σ = 137683142. Its totient is φ = 137683140.

The previous prime is 137683123. The next prime is 137683157. The reversal of 137683141 is 141386731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136773025 + 910116 = 11695^2 + 954^2 .

It is a cyclic number.

It is not a de Polignac number, because 137683141 - 223 = 129294533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137683097 and 137683106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137683111) 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, 68841570 + 68841571.

It is an arithmetic number, because the mean of its divisors is an integer number (68841571).

Almost surely, 2137683141 is an apocalyptic number.

It is an amenable number.

137683141 is a deficient number, since it is larger than the sum of its proper divisors (1).

137683141 is an equidigital number, since it uses as much as digits as its factorization.

137683141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 137683141 is about 11733.8459594457. The cubic root of 137683141 is about 516.3691109880.

The spelling of 137683141 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, one hundred forty-one".