138478593 has 16 divisors (see below), whose sum is σ = 212025600. Its totient is φ = 79508880.

The previous prime is 138478577. The next prime is 138478621. The reversal of 138478593 is 395874831.

It is not a de Polignac number, because 138478593 - 2⁴ = 138478577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138478573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109803 + ... + 111056.

It is an arithmetic number, because the mean of its divisors is an integer number (13251600).

Almost surely, 2^138478593 is an apocalyptic number.

It is an amenable number.

138478593 is a deficient number, since it is larger than the sum of its proper divisors (73547007).

138478593 is a wasteful number, since it uses less digits than its factorization.

138478593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220892.

The product of its digits is 725760, while the sum is 48.

The square root of 138478593 is about 11767.6927645142. The cubic root of 138478593 is about 517.3616274539.

It can be divided in two parts, 138 and 478593, that added together give a triangular number (478731 = T₉₇₈).

The spelling of 138478593 in words is "one hundred thirty-eight million, four hundred seventy-eight thousand, five hundred ninety-three".