140205312 has 216 divisors, whose sum is σ = 452361728. Its totient is φ = 41472000.

The previous prime is 140205301. The next prime is 140205323. The reversal of 140205312 is 213502041.

It is an interprime number because it is at equal distance from previous prime (140205301) and next prime (140205323).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 928437 + ... + 928587.

Almost surely, 2^140205312 is an apocalyptic number.

140205312 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 140205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226180864).

140205312 is an abundant number, since it is smaller than the sum of its proper divisors (312156416).

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

140205312 is a wasteful number, since it uses less digits than its factorization.

140205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140205312 is about 11840.8324031717. The cubic root of 140205312 is about 519.5031150975.

Adding to 140205312 its reverse (213502041), we get a palindrome (353707353).

The spelling of 140205312 in words is "one hundred forty million, two hundred five thousand, three hundred twelve".