202755140 has 72 divisors (see below), whose sum is σ = 497635992. Its totient is φ = 69189120.

The previous prime is 202755131. The next prime is 202755149. The reversal of 202755140 is 41557202.

202755140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202755131) and next prime (202755149).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 199543876 = 1792^2 + 14126^2 .

It is a super-2 number, since 2×202755140² = 82219293592839200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202755149) 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 23 ways as a sum of consecutive naturals, for example, 306410 + ... + 307070.

It is an arithmetic number, because the mean of its divisors is an integer number (6911611).

Almost surely, 2^202755140 is an apocalyptic number.

202755140 is a gapful number since it is divisible by the number (20) 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 202755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248817996).

202755140 is an abundant number, since it is smaller than the sum of its proper divisors (294880852).

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

202755140 is a wasteful number, since it uses less digits than its factorization.

202755140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 202755140 is about 14239.2113545660. The cubic root of 202755140 is about 587.4766696635.

The spelling of 202755140 in words is "two hundred two million, seven hundred fifty-five thousand, one hundred forty".