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126972137 is a prime number
BaseRepresentation
bin1111001000101…
…11000011101001
322211220212000202
413210113003221
5230001102022
620333241545
73101150105
oct744270351
9284825022
10126972137
1165744056
12366332b5
13203c8556
1412c12905
15b231592
hex79170e9

126972137 has 2 divisors, whose sum is σ = 126972138. Its totient is φ = 126972136.

The previous prime is 126972119. The next prime is 126972199. The reversal of 126972137 is 731279621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97930816 + 29041321 = 9896^2 + 5389^2 .

It is an emirp because it is prime and its reverse (731279621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126972137 - 212 = 126968041 is a prime.

It is a super-2 number, since 2×1269721372 = 32243847148693538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126972137.

It is not a weakly prime, because it can be changed into another prime (126972107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63486068 + 63486069.

It is an arithmetic number, because the mean of its divisors is an integer number (63486069).

Almost surely, 2126972137 is an apocalyptic number.

It is an amenable number.

126972137 is a deficient number, since it is larger than the sum of its proper divisors (1).

126972137 is an equidigital number, since it uses as much as digits as its factorization.

126972137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31752, while the sum is 38.

The square root of 126972137 is about 11268.1913810514. The cubic root of 126972137 is about 502.6158072403.

The spelling of 126972137 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, one hundred thirty-seven".