138428313 has 16 divisors (see below), whose sum is σ = 188037696. Its totient is φ = 90567360.

The previous prime is 138428249. The next prime is 138428317. The reversal of 138428313 is 313824831.

It is not a de Polignac number, because 138428313 - 2⁶ = 138428249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138428317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37323 + ... + 40863.

It is an arithmetic number, because the mean of its divisors is an integer number (11752356).

Almost surely, 2^138428313 is an apocalyptic number.

It is an amenable number.

138428313 is a deficient number, since it is larger than the sum of its proper divisors (49609383).

138428313 is a wasteful number, since it uses less digits than its factorization.

138428313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784.

The product of its digits is 13824, while the sum is 33.

The square root of 138428313 is about 11765.5562129463. The cubic root of 138428313 is about 517.2990038357.

It can be divided in two parts, 13842 and 8313, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 138428313 in words is "one hundred thirty-eight million, four hundred twenty-eight thousand, three hundred thirteen".