13254123400 has 96 divisors (see below), whose sum is σ = 35882792640. Its totient is φ = 4458504960.

The previous prime is 13254123397. The next prime is 13254123401. The reversal of 13254123400 is 432145231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13254123401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15114 + ... + 163513.

It is an arithmetic number, because the mean of its divisors is an integer number (373779090).

Almost surely, 2^13254123400 is an apocalyptic number.

13254123400 is a gapful number since it is divisible by the number (10) 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 13254123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941396320).

13254123400 is an abundant number, since it is smaller than the sum of its proper divisors (22628669240).

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

13254123400 is a wasteful number, since it uses less digits than its factorization.

13254123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178703 (or 178694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13254123400 its reverse (432145231), we get a palindrome (13686268631).

The spelling of 13254123400 in words is "thirteen billion, two hundred fifty-four million, one hundred twenty-three thousand, four hundred".