138556441 has 9 divisors (see below), whose sum is σ = 141280671. Its totient is φ = 135884424.

The previous prime is 138556433. The next prime is 138556447. The reversal of 138556441 is 144655831.

It is a happy number.

The square root of 138556441 is 11771.

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

It can be written as a sum of positive squares in only one way, i.e., 16232841 + 122323600 = 4029^2 + 11060^2 .

It is not a de Polignac number, because 138556441 - 2³ = 138556433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138556441.

It is not an unprimeable number, because it can be changed into a prime (138556447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 929835 + ... + 929983.

Almost surely, 2^138556441 is an apocalyptic number.

138556441 is the 11771-st square number.

138556441 is the 5886-th centered octagonal number.

It is an amenable number.

138556441 is a deficient number, since it is larger than the sum of its proper divisors (2724230).

138556441 is an frugal number, since it uses more digits than its factorization.

138556441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The cubic root of 138556441 is about 517.4585570521.

Multiplying 138556441 by its product of digits (57600), we get a square (7980851001600 = 2825040²).

The spelling of 138556441 in words is "one hundred thirty-eight million, five hundred fifty-six thousand, four hundred forty-one".