254334314136 has 128 divisors (see below), whose sum is σ = 771480737280. Its totient is φ = 68208777216.

The previous prime is 254334314093. The next prime is 254334314137. The reversal of 254334314136 is 631413433452.

254334314136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 254334314094 and 254334314103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254334314137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 945915 + ... + 1184661.

It is an arithmetic number, because the mean of its divisors is an integer number (6027193260).

Almost surely, 2^254334314136 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 254334314136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385740368640).

254334314136 is an abundant number, since it is smaller than the sum of its proper divisors (517146423144).

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

254334314136 is a wasteful number, since it uses less digits than its factorization.

254334314136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239153 (or 239149 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

Adding to 254334314136 its reverse (631413433452), we get a palindrome (885747747588).

The spelling of 254334314136 in words is "two hundred fifty-four billion, three hundred thirty-four million, three hundred fourteen thousand, one hundred thirty-six".