137542675313 has 2 divisors, whose sum is σ = 137542675314. Its totient is φ = 137542675312.

The previous prime is 137542675279. The next prime is 137542675331. The reversal of 137542675313 is 313576245731.

Together with next prime (137542675331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94192520464 + 43350154849 = 306908^2 + 208207^2 .

It is a cyclic number.

It is not a de Polignac number, because 137542675313 - 2⁸ = 137542675057 is a prime.

It is not a weakly prime, because it can be changed into another prime (137542671313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68771337656 + 68771337657.

It is an arithmetic number, because the mean of its divisors is an integer number (68771337657).

Almost surely, 2^137542675313 is an apocalyptic number.

It is an amenable number.

137542675313 is a deficient number, since it is larger than the sum of its proper divisors (1).

137542675313 is an equidigital number, since it uses as much as digits as its factorization.

137542675313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1587600, while the sum is 47.

The spelling of 137542675313 in words is "one hundred thirty-seven billion, five hundred forty-two million, six hundred seventy-five thousand, three hundred thirteen".