137740244765841 has 63 divisors (see below), whose sum is σ = 215896659986329. Its totient is φ = 87829711414632.

The previous prime is 137740244765833. The next prime is 137740244765857. The reversal of 137740244765841 is 148567442047731.

The square root of 137740244765841 is 11736279.

It is a perfect power (a square), and thus also a powerful number.

137740244765841 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 0 + 2 + 4 + 47 + 6 + 584 + 1 = 666.

It is not a de Polignac number, because 137740244765841 - 2³ = 137740244765833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137740244765831) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7288219810 + ... + 7288238708.

Almost surely, 2^{137740244765841} is an apocalyptic number.

137740244765841 is the 11736279-th square number.

137740244765841 is the 5868140-th centered octagonal number.

It is an amenable number.

137740244765841 is a deficient number, since it is larger than the sum of its proper divisors (78156415220488).

137740244765841 is an frugal number, since it uses more digits than its factorization.

137740244765841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37862 (or 18925 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 137740244765841 in words is "one hundred thirty-seven trillion, seven hundred forty billion, two hundred forty-four million, seven hundred sixty-five thousand, eight hundred forty-one".