139648320 has 224 divisors, whose sum is σ = 563270400. Its totient is φ = 31905792.

The previous prime is 139648307. The next prime is 139648321. The reversal of 139648320 is 23846931.

139648320 is a `hidden beast` number, since 1 + 3 + 9 + 648 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (139648321) 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 31 ways as a sum of consecutive naturals, for example, 59326 + ... + 61634.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600).

Almost surely, 2^139648320 is an apocalyptic number.

139648320 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 139648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281635200).

139648320 is an abundant number, since it is smaller than the sum of its proper divisors (423622080).

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

139648320 is a wasteful number, since it uses less digits than its factorization.

139648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 139648320 is about 11817.2890292148. The cubic root of 139648320 is about 518.8142607769.

The spelling of 139648320 in words is "one hundred thirty-nine million, six hundred forty-eight thousand, three hundred twenty".