139983984 has 240 divisors, whose sum is σ = 496173600. Its totient is φ = 37545984.

The previous prime is 139983919. The next prime is 139984007. The reversal of 139983984 is 489389931.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139983984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359662 + ... + 360050.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2^139983984 is an apocalyptic number.

139983984 is a gapful number since it is divisible by the number (14) 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 139983984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248086800).

139983984 is an abundant number, since it is smaller than the sum of its proper divisors (356189616).

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

139983984 is a wasteful number, since it uses less digits than its factorization.

139983984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 139983984 is about 11831.4827473145. The cubic root of 139983984 is about 519.2296087192.

The spelling of 139983984 in words is "one hundred thirty-nine million, nine hundred eighty-three thousand, nine hundred eighty-four".