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137957983 is a prime number
BaseRepresentation
bin10000011100100…
…01001001011111
3100121120222202221
420032101021133
5240304123413
621404530211
73263423602
oct1016211137
9317528687
10137957983
1170967969
123a250967
1322773a57
1414472339
15c1a168d
hex839125f

137957983 has 2 divisors, whose sum is σ = 137957984. Its totient is φ = 137957982.

The previous prime is 137957969. The next prime is 137957987. The reversal of 137957983 is 389759731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137957983 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137957983.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137957987) 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, 68978991 + 68978992.

It is an arithmetic number, because the mean of its divisors is an integer number (68978992).

Almost surely, 2137957983 is an apocalyptic number.

137957983 is a deficient number, since it is larger than the sum of its proper divisors (1).

137957983 is an equidigital number, since it uses as much as digits as its factorization.

137957983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1428840, while the sum is 52.

The square root of 137957983 is about 11745.5516260412. The cubic root of 137957983 is about 516.7124732656.

The spelling of 137957983 in words is "one hundred thirty-seven million, nine hundred fifty-seven thousand, nine hundred eighty-three".