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137628971 is a prime number
BaseRepresentation
bin10000011010000…
…00110100101011
3100120222021110022
420031000310223
5240213111341
621353511055
73260553434
oct1015006453
9316867408
10137628971
1170762757
123a11248b
132268a07c
14143c848b
15c138e4b
hex8340d2b

137628971 has 2 divisors, whose sum is σ = 137628972. Its totient is φ = 137628970.

The previous prime is 137628949. The next prime is 137628979. The reversal of 137628971 is 179826731.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137628971 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137628979) 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, 68814485 + 68814486.

It is an arithmetic number, because the mean of its divisors is an integer number (68814486).

Almost surely, 2137628971 is an apocalyptic number.

137628971 is a deficient number, since it is larger than the sum of its proper divisors (1).

137628971 is an equidigital number, since it uses as much as digits as its factorization.

137628971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 44.

The square root of 137628971 is about 11731.5374525251. The cubic root of 137628971 is about 516.3013820859.

The spelling of 137628971 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, nine hundred seventy-one".