225147142823136 has 192 divisors, whose sum is σ = 601797088650240. Its totient is φ = 73690795837440.

The previous prime is 225147142823081. The next prime is 225147142823147. The reversal of 225147142823136 is 631328241741522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219451625 + ... + 4219504983.

It is an arithmetic number, because the mean of its divisors is an integer number (3134359836720).

Almost surely, 2^{225147142823136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225147142823136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300898544325120).

225147142823136 is an abundant number, since it is smaller than the sum of its proper divisors (376649945827104).

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

225147142823136 is a wasteful number, since it uses less digits than its factorization.

225147142823136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56689 (or 56681 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 225147142823136 in words is "two hundred twenty-five trillion, one hundred forty-seven billion, one hundred forty-two million, eight hundred twenty-three thousand, one hundred thirty-six".