140768320 has 224 divisors, whose sum is σ = 434522880. Its totient is φ = 42147840.

The previous prime is 140768263. The next prime is 140768323. The reversal of 140768320 is 23867041.

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

It is not an unprimeable number, because it can be changed into a prime (140768323) 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, 714462 + ... + 714658.

Almost surely, 2^140768320 is an apocalyptic number.

140768320 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 140768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217261440).

140768320 is an abundant number, since it is smaller than the sum of its proper divisors (293754560).

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

140768320 is a wasteful number, since it uses less digits than its factorization.

140768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 140768320 is about 11864.5825885279. The cubic root of 140768320 is about 520.1975580705.

The spelling of 140768320 in words is "one hundred forty million, seven hundred sixty-eight thousand, three hundred twenty".