139939200 has 288 divisors, whose sum is σ = 515469240. Its totient is φ = 36126720.

The previous prime is 139939159. The next prime is 139939207. The reversal of 139939200 is 2939931.

139939200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139939207) by changing a digit.

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, 1238344 + ... + 1238456.

Almost surely, 2^139939200 is an apocalyptic number.

139939200 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 139939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257734620).

139939200 is an abundant number, since it is smaller than the sum of its proper divisors (375530040).

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

139939200 is a wasteful number, since it uses less digits than its factorization.

139939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 139939200 is about 11829.5900182551. The cubic root of 139939200 is about 519.1742317674.

The spelling of 139939200 in words is "one hundred thirty-nine million, nine hundred thirty-nine thousand, two hundred".