139395200 has 192 divisors, whose sum is σ = 404736000. Its totient is φ = 47416320.

The previous prime is 139395173. The next prime is 139395209. The reversal of 139395200 is 2593931.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (139395209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097537 + ... + 1097663.

It is an arithmetic number, because the mean of its divisors is an integer number (2108000).

Almost surely, 2^139395200 is an apocalyptic number.

139395200 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 139395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

139395200 is an abundant number, since it is smaller than the sum of its proper divisors (265340800).

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

139395200 is an equidigital number, since it uses as much as digits as its factorization.

139395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 139395200 is about 11806.5744396925. The cubic root of 139395200 is about 518.5006117273.

The spelling of 139395200 in words is "one hundred thirty-nine million, three hundred ninety-five thousand, two hundred".