225137232000 has 1280 divisors, whose sum is σ = 905685580800. Its totient is φ = 55240704000.

The previous prime is 225137231999. The next prime is 225137232053. The reversal of 225137232000 is 232731522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1009583889 + ... + 1009584111.

It is an arithmetic number, because the mean of its divisors is an integer number (707566860).

Almost surely, 2^225137232000 is an apocalyptic number.

225137232000 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 225137232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452842790400).

225137232000 is an abundant number, since it is smaller than the sum of its proper divisors (680548348800).

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

225137232000 is a wasteful number, since it uses less digits than its factorization.

225137232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 225137232000 its reverse (232731522), we get a palindrome (225369963522).

The spelling of 225137232000 in words is "two hundred twenty-five billion, one hundred thirty-seven million, two hundred thirty-two thousand".