138694513 has 8 divisors (see below), whose sum is σ = 143488296. Its totient is φ = 133968000.

The previous prime is 138694499. The next prime is 138694519. The reversal of 138694513 is 315496831.

138694513 = 8327² + 8328².

It can be written as a sum of positive squares in 4 ways, for example, as 69355584 + 69338929 = 8328^2 + 8327^2 .

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 138694513 - 2¹³ = 138686321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138694519) 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, 12606 + ... + 20887.

It is an arithmetic number, because the mean of its divisors is an integer number (17936037).

Almost surely, 2^138694513 is an apocalyptic number.

138694513 is the 8328-th centered square number.

It is an amenable number.

138694513 is a deficient number, since it is larger than the sum of its proper divisors (4793783).

138694513 is a wasteful number, since it uses less digits than its factorization.

138694513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33635.

The product of its digits is 77760, while the sum is 40.

The square root of 138694513 is about 11776.8634618900. The cubic root of 138694513 is about 517.6303831043.

The spelling of 138694513 in words is "one hundred thirty-eight million, six hundred ninety-four thousand, five hundred thirteen".