140881824 has 72 divisors (see below), whose sum is σ = 406181412. Its totient is φ = 46310400.

The previous prime is 140881823. The next prime is 140881837. The reversal of 140881824 is 428188041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140849424 + 32400 = 11868^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140881823) 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 11 ways as a sum of consecutive naturals, for example, 17674 + ... + 24374.

Almost surely, 2^140881824 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 140881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203090706).

140881824 is an abundant number, since it is smaller than the sum of its proper divisors (265299588).

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

140881824 is a wasteful number, since it uses less digits than its factorization.

140881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 140881824 is about 11869.3649366763. The cubic root of 140881824 is about 520.3373353565.

The spelling of 140881824 in words is "one hundred forty million, eight hundred eighty-one thousand, eight hundred twenty-four".