138500700 has 144 divisors (see below), whose sum is σ = 457158240. Its totient is φ = 32071680.

The previous prime is 138500699. The next prime is 138500743. The reversal of 138500700 is 7005831.

138500700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65256 + ... + 67344.

It is an arithmetic number, because the mean of its divisors is an integer number (3174710).

Almost surely, 2^138500700 is an apocalyptic number.

138500700 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 138500700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228579120).

138500700 is an abundant number, since it is smaller than the sum of its proper divisors (318657540).

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

138500700 is a wasteful number, since it uses less digits than its factorization.

138500700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138500700 is about 11768.6320360524. The cubic root of 138500700 is about 517.3891568712.

The spelling of 138500700 in words is "one hundred thirty-eight million, five hundred thousand, seven hundred".