138256805241 has 27 divisors (see below), whose sum is σ = 204761645647. Its totient is φ = 89893379040.

The previous prime is 138256805231. The next prime is 138256805243. The reversal of 138256805241 is 142508652831.

The square root of 138256805241 is 371829.

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

138256805241 is a `hidden beast` number, since 1 + 3 + 82 + 568 + 0 + 5 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6661987641 + 131594817600 = 81621^2 + 362760^2 .

It is not a de Polignac number, because 138256805241 - 2¹⁵ = 138256772473 is a prime.

It is a super-2 number, since 2×138256805241² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138256805243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45733456 + ... + 45736478.

Almost surely, 2^138256805241 is an apocalyptic number.

138256805241 is the 371829-th square number.

138256805241 is the 185915-th centered octagonal number.

It is an amenable number.

138256805241 is a deficient number, since it is larger than the sum of its proper divisors (66504840406).

138256805241 is an frugal number, since it uses more digits than its factorization.

138256805241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 138256805241 in words is "one hundred thirty-eight billion, two hundred fifty-six million, eight hundred five thousand, two hundred forty-one".