202145200 has 60 divisors (see below), whose sum is σ = 491878240. Its totient is φ = 79822080.

The previous prime is 202145179. The next prime is 202145213. The reversal of 202145200 is 2541202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28402 + ... + 34798.

Almost surely, 2^202145200 is an apocalyptic number.

202145200 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 202145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245939120).

202145200 is an abundant number, since it is smaller than the sum of its proper divisors (289733040).

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

202145200 is a wasteful number, since it uses less digits than its factorization.

202145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 202145200 is about 14217.7776041124. Note that the first 3 decimals coincide. The cubic root of 202145200 is about 586.8869839411.

Adding to 202145200 its reverse (2541202), we get a palindrome (204686402).

The spelling of 202145200 in words is "two hundred two million, one hundred forty-five thousand, two hundred".