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137275129 is a prime number
BaseRepresentation
bin10000010111010…
…10011011111001
3100120022022002001
420023222123321
5240120301004
621342141001
73254551015
oct1013523371
9316268061
10137275129
1170540922
1239b81761
1322594cb4
1414335545
15c0b91a4
hex82ea6f9

137275129 has 2 divisors, whose sum is σ = 137275130. Its totient is φ = 137275128.

The previous prime is 137275121. The next prime is 137275139. The reversal of 137275129 is 921572731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93026025 + 44249104 = 9645^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 137275129 - 23 = 137275121 is a prime.

It is a super-2 number, since 2×1372751292 = 37688922083933282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137275121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68637564 + 68637565.

It is an arithmetic number, because the mean of its divisors is an integer number (68637565).

Almost surely, 2137275129 is an apocalyptic number.

It is an amenable number.

137275129 is a deficient number, since it is larger than the sum of its proper divisors (1).

137275129 is an equidigital number, since it uses as much as digits as its factorization.

137275129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 37.

The square root of 137275129 is about 11716.4469443599. The cubic root of 137275129 is about 515.8585346729.

The spelling of 137275129 in words is "one hundred thirty-seven million, two hundred seventy-five thousand, one hundred twenty-nine".