202145560 has 48 divisors (see below), whose sum is σ = 480060000. Its totient is φ = 76597056.

The previous prime is 202145549. The next prime is 202145561. The reversal of 202145560 is 65541202.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202145561) 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 11 ways as a sum of consecutive naturals, for example, 7441 + ... + 21439.

It is an arithmetic number, because the mean of its divisors is an integer number (10001250).

Almost surely, 2^202145560 is an apocalyptic number.

202145560 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 202145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240030000).

202145560 is an abundant number, since it is smaller than the sum of its proper divisors (277914440).

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

202145560 is a wasteful number, since it uses less digits than its factorization.

202145560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 202145560 is about 14217.7902643132. The cubic root of 202145560 is about 586.8873323362.

Adding to 202145560 its reverse (65541202), we get a palindrome (267686762).

The spelling of 202145560 in words is "two hundred two million, one hundred forty-five thousand, five hundred sixty".