138580200 has 192 divisors, whose sum is σ = 520948800. Its totient is φ = 33580800.

The previous prime is 138580193. The next prime is 138580201. The reversal of 138580200 is 2085831.

It is a happy number.

138580200 is a `hidden beast` number, since 1 + 385 + 80 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138580201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58234 + ... + 60566.

It is an arithmetic number, because the mean of its divisors is an integer number (2713275).

Almost surely, 2^138580200 is an apocalyptic number.

138580200 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 138580200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260474400).

138580200 is an abundant number, since it is smaller than the sum of its proper divisors (382368600).

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

138580200 is a wasteful number, since it uses less digits than its factorization.

138580200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138580200 is about 11772.0091743084. The cubic root of 138580200 is about 517.4881324731.

The spelling of 138580200 in words is "one hundred thirty-eight million, five hundred eighty thousand, two hundred".