137438773860961 has 16 divisors (see below), whose sum is σ = 141114889515600. Its totient is φ = 133778160921600.

The previous prime is 137438773860943. The next prime is 137438773860977. The reversal of 137438773860961 is 169068377834731.

It can be written as a sum of positive squares in 8 ways, for example, as 2272688911936 + 135166084949025 = 1507544^2 + 11626095^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438773860961 - 2⁷ = 137438773860833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137438773860061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144477685 + ... + 145425853.

It is an arithmetic number, because the mean of its divisors is an integer number (8819680594725).

Almost surely, 2^{137438773860961} is an apocalyptic number.

It is an amenable number.

137438773860961 is a deficient number, since it is larger than the sum of its proper divisors (3676115654639).

137438773860961 is an equidigital number, since it uses as much as digits as its factorization.

137438773860961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956340.

The product of its (nonzero) digits is 768144384, while the sum is 73.

The spelling of 137438773860961 in words is "one hundred thirty-seven trillion, four hundred thirty-eight billion, seven hundred seventy-three million, eight hundred sixty thousand, nine hundred sixty-one".