138188413 has 16 divisors (see below), whose sum is σ = 155301120. Its totient is φ = 122952940.

The previous prime is 138188389. The next prime is 138188429. The reversal of 138188413 is 314881831.

138188413 = T₅₀₀₇ + T₅₀₀₈ + ... + T₅₀₁₇.

The cubic root of 138188413 is 517.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 138188413 - 2⁵ = 138188381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138188473) 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, 2940156 + ... + 2940202.

It is an arithmetic number, because the mean of its divisors is an integer number (9706320).

Almost surely, 2^138188413 is an apocalyptic number.

It is an amenable number.

138188413 is a deficient number, since it is larger than the sum of its proper divisors (17112707).

138188413 is an frugal number, since it uses more digits than its factorization.

138188413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 58 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 138188413 is about 11755.3567789327.

It can be divided in two parts, 138188 and 413, that added together give a triangular number (138601 = T₅₂₆).

The spelling of 138188413 in words is "one hundred thirty-eight million, one hundred eighty-eight thousand, four hundred thirteen".