225136701152 has 96 divisors (see below), whose sum is σ = 504921682944. Its totient is φ = 97814464000.

The previous prime is 225136701113. The next prime is 225136701247. The reversal of 225136701152 is 251107631522.

225136701152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12029402 + ... + 12048102.

It is an arithmetic number, because the mean of its divisors is an integer number (5259600864).

Almost surely, 2^225136701152 is an apocalyptic number.

225136701152 is a gapful number since it is divisible by the number (22) 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 225136701152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252460841472).

225136701152 is an abundant number, since it is smaller than the sum of its proper divisors (279784981792).

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

225136701152 is a wasteful number, since it uses less digits than its factorization.

225136701152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20232 (or 20224 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 225136701152 in words is "two hundred twenty-five billion, one hundred thirty-six million, seven hundred one thousand, one hundred fifty-two".