138005208 has 160 divisors (see below), whose sum is σ = 444312000. Its totient is φ = 39579840.

The previous prime is 138005173. The next prime is 138005209. The reversal of 138005208 is 802500831.

It is a happy number.

138005208 is a `hidden beast` number, since 138 + 0 + 0 + 520 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138005209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134923 + ... + 135941.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2^138005208 is an apocalyptic number.

138005208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138005208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156000).

138005208 is an abundant number, since it is smaller than the sum of its proper divisors (306306792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138005208 is a wasteful number, since it uses less digits than its factorization.

138005208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138005208 is about 11747.5617895800. The cubic root of 138005208 is about 516.7714259076.

The spelling of 138005208 in words is "one hundred thirty-eight million, five thousand, two hundred eight".