139981824 has 176 divisors, whose sum is σ = 426431040. Its totient is φ = 45342720.

The previous prime is 139981789. The next prime is 139981843. The reversal of 139981824 is 428189931.

It is a super-2 number, since 2×139981824² = 39189822100733952, which contains 22 as substring.

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 139981824.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1686487 + ... + 1686569.

Almost surely, 2^139981824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213215520).

139981824 is an abundant number, since it is smaller than the sum of its proper divisors (286449216).

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

139981824 is an equidigital number, since it uses as much as digits as its factorization.

139981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 139981824 is about 11831.3914650814. The cubic root of 139981824 is about 519.2269380762.

The spelling of 139981824 in words is "one hundred thirty-nine million, nine hundred eighty-one thousand, eight hundred twenty-four".