140280320 has 80 divisors (see below), whose sum is σ = 345667608. Its totient is φ = 54558720.

The previous prime is 140280307. The next prime is 140280341. The reversal of 140280320 is 23082041.

It can be written as a sum of positive squares in 4 ways, for example, as 130142464 + 10137856 = 11408^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 140280292 and 140280301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93980 + ... + 95460.

Almost surely, 2^140280320 is an apocalyptic number.

140280320 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 140280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172833804).

140280320 is an abundant number, since it is smaller than the sum of its proper divisors (205387288).

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

140280320 is an equidigital number, since it uses as much as digits as its factorization.

140280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140280320 is about 11843.9993245525. Note that the first 3 decimals coincide. The cubic root of 140280320 is about 519.5957410288.

The spelling of 140280320 in words is "one hundred forty million, two hundred eighty thousand, three hundred twenty".