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138138249937 is a prime number
BaseRepresentation
bin1000000010100110101…
…1100110101011010001
3111012120002111011210011
42000221223212223101
54230401342444222
6143243154034521
712660123515362
oct2005153465321
9435502434704
10138138249937
1153647493826
1222932278a41
1310045c6153c
14698627db69
1538d756bc77
hex2029ae6ad1

138138249937 has 2 divisors, whose sum is σ = 138138249938. Its totient is φ = 138138249936.

The previous prime is 138138249929. The next prime is 138138249943. The reversal of 138138249937 is 739942831831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127646140176 + 10492109761 = 357276^2 + 102431^2 .

It is a cyclic number.

It is not a de Polignac number, because 138138249937 - 23 = 138138249929 is a prime.

It is not a weakly prime, because it can be changed into another prime (138138249917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69069124968 + 69069124969.

It is an arithmetic number, because the mean of its divisors is an integer number (69069124969).

Almost surely, 2138138249937 is an apocalyptic number.

It is an amenable number.

138138249937 is a deficient number, since it is larger than the sum of its proper divisors (1).

138138249937 is an equidigital number, since it uses as much as digits as its factorization.

138138249937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7838208, while the sum is 58.

The spelling of 138138249937 in words is "one hundred thirty-eight billion, one hundred thirty-eight million, two hundred forty-nine thousand, nine hundred thirty-seven".