139144320 has 576 divisors, whose sum is σ = 612214200. Its totient is φ = 28901376.

The previous prime is 139144301. The next prime is 139144321. The reversal of 139144320 is 23441931.

It can be written as a sum of positive squares in 4 ways, for example, as 126697536 + 12446784 = 11256^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×139144320² = 38722283576524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139144321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4798066 + ... + 4798094.

Almost surely, 2^139144320 is an apocalyptic number.

139144320 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 139144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306107100).

139144320 is an abundant number, since it is smaller than the sum of its proper divisors (473069880).

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

139144320 is a wasteful number, since it uses less digits than its factorization.

139144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 139144320 is about 11795.9450659962. The cubic root of 139144320 is about 518.1893634426.

The spelling of 139144320 in words is "one hundred thirty-nine million, one hundred forty-four thousand, three hundred twenty".