137845468859121 has 63 divisors (see below), whose sum is σ = 219554650297371. Its totient is φ = 86487893239104.

The previous prime is 137845468859093. The next prime is 137845468859141. The reversal of 137845468859121 is 121958864548731.

The square root of 137845468859121 is 11740761.

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

137845468859121 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 4 + 5 + 4 + 6 + 8 + 8 + 591 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107319136655025 + 30526332204096 = 10359495^2 + 5525064^2 .

It is not a de Polignac number, because 137845468859121 - 2³³ = 137836878924529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137845468859121.

It is not an unprimeable number, because it can be changed into a prime (137845468859141) 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, 5388996510 + ... + 5389022088.

Almost surely, 2^{137845468859121} is an apocalyptic number.

137845468859121 is the 11740761-st square number.

137845468859121 is the 5870381-st centered octagonal number.

It is an amenable number.

137845468859121 is a deficient number, since it is larger than the sum of its proper divisors (81709181438250).

137845468859121 is an frugal number, since it uses more digits than its factorization.

137845468859121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51210 (or 25599 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 137845468859121 in words is "one hundred thirty-seven trillion, eight hundred forty-five billion, four hundred sixty-eight million, eight hundred fifty-nine thousand, one hundred twenty-one".