140307120 has 160 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 35205120.

The previous prime is 140307119. The next prime is 140307121. The reversal of 140307120 is 21703041.

It is an interprime number because it is at equal distance from previous prime (140307119) and next prime (140307121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140307093 and 140307102.

It is not an unprimeable number, because it can be changed into a prime (140307121) 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 31 ways as a sum of consecutive naturals, for example, 34810 + ... + 38630.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^140307120 is an apocalyptic number.

140307120 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 140307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

140307120 is an abundant number, since it is smaller than the sum of its proper divisors (371535120).

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

140307120 is a wasteful number, since it uses less digits than its factorization.

140307120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 140307120 is about 11845.1306451216. The cubic root of 140307120 is about 519.6288278252.

The spelling of 140307120 in words is "one hundred forty million, three hundred seven thousand, one hundred twenty".