13242134400 has 192 divisors, whose sum is σ = 47581776000. Its totient is φ = 3210188800.

The previous prime is 13242134383. The next prime is 13242134401. The reversal of 13242134400 is 443124231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242134401) 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, 42901 + ... + 168299.

It is an arithmetic number, because the mean of its divisors is an integer number (247821750).

Almost surely, 2^13242134400 is an apocalyptic number.

13242134400 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 13242134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23790888000).

13242134400 is an abundant number, since it is smaller than the sum of its proper divisors (34339641600).

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

13242134400 is a wasteful number, since it uses less digits than its factorization.

13242134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125437 (or 125420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13242134400 its reverse (443124231), we get a palindrome (13685258631).

The spelling of 13242134400 in words is "thirteen billion, two hundred forty-two million, one hundred thirty-four thousand, four hundred".