138371688 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 36408960.

The previous prime is 138371641. The next prime is 138371759. The reversal of 138371688 is 886173831.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 320833 + ... + 321263.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^138371688 is an apocalyptic number.

138371688 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 138371688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

138371688 is an abundant number, since it is smaller than the sum of its proper divisors (333372312).

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

138371688 is a wasteful number, since it uses less digits than its factorization.

138371688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 138371688 is about 11763.1495782380. The cubic root of 138371688 is about 517.2284593775.

The spelling of 138371688 in words is "one hundred thirty-eight million, three hundred seventy-one thousand, six hundred eighty-eight".