137378065537 has 2 divisors, whose sum is σ = 137378065538. Its totient is φ = 137378065536.

The previous prime is 137378065523. The next prime is 137378065541. The reversal of 137378065537 is 735560873731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86987244096 + 50390821441 = 294936^2 + 224479^2 .

It is a cyclic number.

It is not a de Polignac number, because 137378065537 - 2²³ = 137369676929 is a prime.

It is not a weakly prime, because it can be changed into another prime (137378065597) 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, 68689032768 + 68689032769.

It is an arithmetic number, because the mean of its divisors is an integer number (68689032769).

Almost surely, 2^137378065537 is an apocalyptic number.

It is an amenable number.

137378065537 is a deficient number, since it is larger than the sum of its proper divisors (1).

137378065537 is an equidigital number, since it uses as much as digits as its factorization.

137378065537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 137378065537 in words is "one hundred thirty-seven billion, three hundred seventy-eight million, sixty-five thousand, five hundred thirty-seven".