225734125154420 has 192 divisors, whose sum is σ = 541269510969600. Its totient is φ = 78540139560960.

The previous prime is 225734125154407. The next prime is 225734125154423. The reversal of 225734125154420 is 24451521437522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225734125154423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5425106576 + ... + 5425148184.

It is an arithmetic number, because the mean of its divisors is an integer number (2819112036300).

Almost surely, 2^{225734125154420} is an apocalyptic number.

225734125154420 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 225734125154420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270634755484800).

225734125154420 is an abundant number, since it is smaller than the sum of its proper divisors (315535385815180).

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

225734125154420 is a wasteful number, since it uses less digits than its factorization.

225734125154420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62178 (or 62176 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 47.

The spelling of 225734125154420 in words is "two hundred twenty-five trillion, seven hundred thirty-four billion, one hundred twenty-five million, one hundred fifty-four thousand, four hundred twenty".