225135054540240 has 160 divisors (see below), whose sum is σ = 751693977256320. Its totient is φ = 55411278440448.

The previous prime is 225135054540233. The next prime is 225135054540257. The reversal of 225135054540240 is 42045450531522.

It is a junction number, because it is equal to n+sod(n) for n = 225135054540192 and 225135054540201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22018099 + ... + 30578861.

It is an arithmetic number, because the mean of its divisors is an integer number (4698087357852).

Almost surely, 2^{225135054540240} is an apocalyptic number.

225135054540240 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 225135054540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375846988628160).

225135054540240 is an abundant number, since it is smaller than the sum of its proper divisors (526558922716080).

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

225135054540240 is a wasteful number, since it uses less digits than its factorization.

225135054540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569221 (or 8569215 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 225135054540240 in words is "two hundred twenty-five trillion, one hundred thirty-five billion, fifty-four million, five hundred forty thousand, two hundred forty".