13537252645600 has 144 divisors (see below), whose sum is σ = 33359317992000. Its totient is φ = 5363886458880.

The previous prime is 13537252645591. The next prime is 13537252645613. The reversal of 13537252645600 is 654625273531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396655737 + ... + 396689863.

It is an arithmetic number, because the mean of its divisors is an integer number (231661930500).

Almost surely, 2^{13537252645600} is an apocalyptic number.

13537252645600 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 13537252645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679658996000).

13537252645600 is an abundant number, since it is smaller than the sum of its proper divisors (19822065346400).

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

13537252645600 is a wasteful number, since it uses less digits than its factorization.

13537252645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38805 (or 38792 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 13537252645600 in words is "thirteen trillion, five hundred thirty-seven billion, two hundred fifty-two million, six hundred forty-five thousand, six hundred".