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137087609761 is a prime number
BaseRepresentation
bin111111110101100001…
…1101110101110100001
3111002211212112010102001
41333223003232232201
54221223412003021
6142551023124001
712622105312444
oct1775303565641
9432755463361
10137087609761
1153158422263
122269a443601
13cc093a376b
1468c690d65b
1538751d6091
hex1feb0eeba1

137087609761 has 2 divisors, whose sum is σ = 137087609762. Its totient is φ = 137087609760.

The previous prime is 137087609759. The next prime is 137087609801. The reversal of 137087609761 is 167906780731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133473315600 + 3614294161 = 365340^2 + 60119^2 .

It is a cyclic number.

It is not a de Polignac number, because 137087609761 - 21 = 137087609759 is a prime.

Together with 137087609759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137087649761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68543804880 + 68543804881.

It is an arithmetic number, because the mean of its divisors is an integer number (68543804881).

Almost surely, 2137087609761 is an apocalyptic number.

It is an amenable number.

137087609761 is a deficient number, since it is larger than the sum of its proper divisors (1).

137087609761 is an equidigital number, since it uses as much as digits as its factorization.

137087609761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 55.

The spelling of 137087609761 in words is "one hundred thirty-seven billion, eighty-seven million, six hundred nine thousand, seven hundred sixty-one".