138559200 has 144 divisors (see below), whose sum is σ = 485812656. Its totient is φ = 34099200.

The previous prime is 138559177. The next prime is 138559217. The reversal of 138559200 is 2955831.

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 23 ways as a sum of consecutive naturals, for example, 28980 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (3373699).

Almost surely, 2^138559200 is an apocalyptic number.

138559200 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 138559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242906328).

138559200 is an abundant number, since it is smaller than the sum of its proper divisors (347253456).

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

138559200 is a wasteful number, since it uses less digits than its factorization.

138559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 138559200 is about 11771.1171942174. The cubic root of 138559200 is about 517.4619916541.

The spelling of 138559200 in words is "one hundred thirty-eight million, five hundred fifty-nine thousand, two hundred".