202132140 has 96 divisors (see below), whose sum is σ = 652700160. Its totient is φ = 45782016.

The previous prime is 202132111. The next prime is 202132157. The reversal of 202132140 is 41231202.

It is a super-3 number, since 3×202132140³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 45331 + ... + 49589.

It is an arithmetic number, because the mean of its divisors is an integer number (6798960).

Almost surely, 2^202132140 is an apocalyptic number.

202132140 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 202132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326350080).

202132140 is an abundant number, since it is smaller than the sum of its proper divisors (450568020).

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

202132140 is a wasteful number, since it uses less digits than its factorization.

202132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202132140 is about 14217.3183125370. The cubic root of 202132140 is about 586.8743446616.

Adding to 202132140 its reverse (41231202), we get a palindrome (243363342).

The spelling of 202132140 in words is "two hundred two million, one hundred thirty-two thousand, one hundred forty".