138367000 has 64 divisors (see below), whose sum is σ = 326008800. Its totient is φ = 54966400.

The previous prime is 138366989. The next prime is 138367003. The reversal of 138367000 is 763831.

138367000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138367000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138367003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178614 + ... + 179386.

Almost surely, 2^138367000 is an apocalyptic number.

138367000 is a gapful number since it is divisible by the number (10) 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 138367000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163004400).

138367000 is an abundant number, since it is smaller than the sum of its proper divisors (187641800).

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

138367000 is a wasteful number, since it uses less digits than its factorization.

138367000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 138367000 is about 11762.9503101900. The cubic root of 138367000 is about 517.2226181190. Note that the first 3 decimals are identical.

The spelling of 138367000 in words is "one hundred thirty-eight million, three hundred sixty-seven thousand".