137123301533 has 2 divisors, whose sum is σ = 137123301534. Its totient is φ = 137123301532.

The previous prime is 137123301499. The next prime is 137123301559. The reversal of 137123301533 is 335103321731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112806641689 + 24316659844 = 335867^2 + 155938^2 .

It is a cyclic number.

It is not a de Polignac number, because 137123301533 - 2²⁰ = 137122252957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137123301533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137123331533) 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, 68561650766 + 68561650767.

It is an arithmetic number, because the mean of its divisors is an integer number (68561650767).

Almost surely, 2^137123301533 is an apocalyptic number.

It is an amenable number.

137123301533 is a deficient number, since it is larger than the sum of its proper divisors (1).

137123301533 is an equidigital number, since it uses as much as digits as its factorization.

137123301533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 32.

The spelling of 137123301533 in words is "one hundred thirty-seven billion, one hundred twenty-three million, three hundred one thousand, five hundred thirty-three".