140033952 has 144 divisors (see below), whose sum is σ = 424438560. Its totient is φ = 43670016.

The previous prime is 140033941. The next prime is 140033969. The reversal of 140033952 is 259330041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 859023 + ... + 859185.

It is an arithmetic number, because the mean of its divisors is an integer number (2947490).

Almost surely, 2^140033952 is an apocalyptic number.

140033952 is a gapful number since it is divisible by the number (12) 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 140033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212219280).

140033952 is an abundant number, since it is smaller than the sum of its proper divisors (284404608).

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

140033952 is a wasteful number, since it uses less digits than its factorization.

140033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 140033952 is about 11833.5942130867. The cubic root of 140033952 is about 519.2913819257.

Adding to 140033952 its reverse (259330041), we get a palindrome (399363993).

It can be divided in two parts, 14003 and 3952, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 140033952 in words is "one hundred forty million, thirty-three thousand, nine hundred fifty-two".