13254226128 has 320 divisors, whose sum is σ = 45794568960. Its totient is φ = 3616358400.

The previous prime is 13254226081. The next prime is 13254226151. The reversal of 13254226128 is 82162245231.

13254226128 is a `hidden beast` number, since 1 + 32 + 5 + 4 + 2 + 2 + 612 + 8 = 666.

It is a Cunningham number, because it is equal to 115127²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13254226092 and 13254226101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2530200 + ... + 2535432.

It is an arithmetic number, because the mean of its divisors is an integer number (143108028).

Almost surely, 2^13254226128 is an apocalyptic number.

13254226128 is a gapful number since it is divisible by the number (18) 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 13254226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897284480).

13254226128 is an abundant number, since it is smaller than the sum of its proper divisors (32540342832).

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

13254226128 is a wasteful number, since it uses less digits than its factorization.

13254226128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5303 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 13254226128 in words is "thirteen billion, two hundred fifty-four million, two hundred twenty-six thousand, one hundred twenty-eight".