137123301577 has 2 divisors, whose sum is σ = 137123301578. Its totient is φ = 137123301576.

The previous prime is 137123301559. The next prime is 137123301629. The reversal of 137123301577 is 775103321731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83967232441 + 53156069136 = 289771^2 + 230556^2 .

It is a cyclic number.

It is not a de Polignac number, because 137123301577 - 2¹⁵ = 137123268809 is a prime.

It is not a weakly prime, because it can be changed into another prime (137123361577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68561650788 + 68561650789.

It is an arithmetic number, because the mean of its divisors is an integer number (68561650789).

Almost surely, 2^137123301577 is an apocalyptic number.

It is an amenable number.

137123301577 is a deficient number, since it is larger than the sum of its proper divisors (1).

137123301577 is an equidigital number, since it uses as much as digits as its factorization.

137123301577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92610, while the sum is 40.

The spelling of 137123301577 in words is "one hundred thirty-seven billion, one hundred twenty-three million, three hundred one thousand, five hundred seventy-seven".