202133152240 has 160 divisors (see below), whose sum is σ = 504096664320. Its totient is φ = 75151245312.

The previous prime is 202133152211. The next prime is 202133152241. The reversal of 202133152240 is 42251331202.

It is a super-2 number, since 2×202133152240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133152241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26169019 + ... + 26176741.

It is an arithmetic number, because the mean of its divisors is an integer number (3150604152).

Almost surely, 2^202133152240 is an apocalyptic number.

202133152240 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 202133152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252048332160).

202133152240 is an abundant number, since it is smaller than the sum of its proper divisors (301963512080).

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

202133152240 is a wasteful number, since it uses less digits than its factorization.

202133152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 202133152240 its reverse (42251331202), we get a palindrome (244384483442).

The spelling of 202133152240 in words is "two hundred two billion, one hundred thirty-three million, one hundred fifty-two thousand, two hundred forty".