13242544000 has 512 divisors, whose sum is σ = 40734720000. Its totient is φ = 4267468800.

The previous prime is 13242543989. The next prime is 13242544031. The reversal of 13242544000 is 44524231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104271937 + ... + 104272063.

It is an arithmetic number, because the mean of its divisors is an integer number (79560000).

Almost surely, 2^13242544000 is an apocalyptic number.

13242544000 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 13242544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360000).

13242544000 is an abundant number, since it is smaller than the sum of its proper divisors (27492176000).

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

13242544000 is an equidigital number, since it uses as much as digits as its factorization.

13242544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 13242544000 in words is "thirteen billion, two hundred forty-two million, five hundred forty-four thousand".