137442754513 has 2 divisors, whose sum is σ = 137442754514. Its totient is φ = 137442754512.

The previous prime is 137442754489. The next prime is 137442754573. The reversal of 137442754513 is 315457244731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136894820049 + 547934464 = 369993^2 + 23408^2 .

It is an emirp because it is prime and its reverse (315457244731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137442754513 - 2⁵ = 137442754481 is a prime.

It is a super-4 number, since 4×137442754513⁴ (a number of 46 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (137442754573) 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, 68721377256 + 68721377257.

It is an arithmetic number, because the mean of its divisors is an integer number (68721377257).

Almost surely, 2^137442754513 is an apocalyptic number.

It is an amenable number.

137442754513 is a deficient number, since it is larger than the sum of its proper divisors (1).

137442754513 is an equidigital number, since it uses as much as digits as its factorization.

137442754513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 46.

The spelling of 137442754513 in words is "one hundred thirty-seven billion, four hundred forty-two million, seven hundred fifty-four thousand, five hundred thirteen".