138920198401 has 8 divisors (see below), whose sum is σ = 144072553320. Its totient is φ = 133791977088.

The previous prime is 138920198387. The next prime is 138920198437. The reversal of 138920198401 is 104891029831.

It is a Cunningham number, because it is equal to 372720²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 72846010000 + 66074188401 = 269900^2 + 257049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138920198401 - 2⁵ = 138920198369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138920198471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6021676 + ... + 6044701.

It is an arithmetic number, because the mean of its divisors is an integer number (18009069165).

Almost surely, 2^138920198401 is an apocalyptic number.

It is an amenable number.

138920198401 is a deficient number, since it is larger than the sum of its proper divisors (5152354919).

138920198401 is a wasteful number, since it uses less digits than its factorization.

138920198401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066803.

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 138920198401 in words is "one hundred thirty-eight billion, nine hundred twenty million, one hundred ninety-eight thousand, four hundred one".