138705300 has 108 divisors (see below), whose sum is σ = 437311420. Its totient is φ = 36771840.

The previous prime is 138705271. The next prime is 138705313. The reversal of 138705300 is 3507831.

It can be written as a sum of positive squares in 6 ways, for example, as 125316 + 138579984 = 354^2 + 11772^2 .

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 35 ways as a sum of consecutive naturals, for example, 205764 + ... + 206436.

Almost surely, 2^138705300 is an apocalyptic number.

138705300 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 138705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218655710).

138705300 is an abundant number, since it is smaller than the sum of its proper divisors (298606120).

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

138705300 is a wasteful number, since it uses less digits than its factorization.

138705300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 138705300 is about 11777.3214272177. The cubic root of 138705300 is about 517.6438023667.

The spelling of 138705300 in words is "one hundred thirty-eight million, seven hundred five thousand, three hundred".