138328677 has 24 divisors (see below), whose sum is σ = 212411160. Its totient is φ = 86446080.

The previous prime is 138328667. The next prime is 138328699. The reversal of 138328677 is 776823831.

It can be written as a sum of positive squares in 4 ways, for example, as 21818241 + 116510436 = 4671^2 + 10794^2 .

It is not a de Polignac number, because 138328677 - 2¹² = 138324581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138328657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39477 + ... + 42837.

It is an arithmetic number, because the mean of its divisors is an integer number (8850465).

Almost surely, 2^138328677 is an apocalyptic number.

138328677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138328677 is a deficient number, since it is larger than the sum of its proper divisors (74082483).

138328677 is a wasteful number, since it uses less digits than its factorization.

138328677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3650 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 138328677 is about 11761.3212268010. The cubic root of 138328677 is about 517.1748626266.

It can be divided in two parts, 13 and 8328677, that multiplied together give a palindrome (108272801).

The spelling of 138328677 in words is "one hundred thirty-eight million, three hundred twenty-eight thousand, six hundred seventy-seven".