139064800 has 144 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 45135360.

The previous prime is 139064771. The next prime is 139064801. The reversal of 139064800 is 8460931.

It is a super-3 number, since 3×139064800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139064801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105747 + ... + 107053.

It is an arithmetic number, because the mean of its divisors is an integer number (2838360).

Almost surely, 2^139064800 is an apocalyptic number.

139064800 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 139064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

139064800 is an abundant number, since it is smaller than the sum of its proper divisors (269659040).

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

139064800 is a wasteful number, since it uses less digits than its factorization.

139064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 139064800 is about 11792.5739344725. The cubic root of 139064800 is about 518.0906307732.

The spelling of 139064800 in words is "one hundred thirty-nine million, sixty-four thousand, eight hundred".