138728194558200 has 288 divisors, whose sum is σ = 501770667434400. Its totient is φ = 34145958343680.

The previous prime is 138728194558199. The next prime is 138728194558201. The reversal of 138728194558200 is 2855491827831.

138728194558200 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 8 + 1 + 9 + 45 + 582 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138728194558199) and next prime (138728194558201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138728194558201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327318021 + ... + 327741579.

It is an arithmetic number, because the mean of its divisors is an integer number (1742259261925).

Almost surely, 2^{138728194558200} is an apocalyptic number.

138728194558200 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 138728194558200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250885333717200).

138728194558200 is an abundant number, since it is smaller than the sum of its proper divisors (363042472876200).

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

138728194558200 is a wasteful number, since it uses less digits than its factorization.

138728194558200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437591 (or 437579 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 138728194558200 in words is "one hundred thirty-eight trillion, seven hundred twenty-eight billion, one hundred ninety-four million, five hundred fifty-eight thousand, two hundred".