137408870955361 has 2 divisors, whose sum is σ = 137408870955362. Its totient is φ = 137408870955360.

The previous prime is 137408870955359. The next prime is 137408870955431. The reversal of 137408870955361 is 163559078804731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137386060592400 + 22810362961 = 11721180^2 + 151031^2 .

It is an emirp because it is prime and its reverse (163559078804731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137408870955361 - 2¹ = 137408870955359 is a prime.

It is a super-3 number, since 3×137408870955361³ (a number of 43 digits) contains 333 as substring.

Together with 137408870955359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137408870955061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68704435477680 + 68704435477681.

It is an arithmetic number, because the mean of its divisors is an integer number (68704435477681).

Almost surely, 2^{137408870955361} is an apocalyptic number.

It is an amenable number.

137408870955361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137408870955361 is an equidigital number, since it uses as much as digits as its factorization.

137408870955361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 137408870955361 in words is "one hundred thirty-seven trillion, four hundred eight billion, eight hundred seventy million, nine hundred fifty-five thousand, three hundred sixty-one".