13503801545136 has 1280 divisors, whose sum is σ = 48424100659200. Its totient is φ = 3521072332800.

The previous prime is 13503801545119. The next prime is 13503801545183. The reversal of 13503801545136 is 63154510830531.

13503801545136 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 80 + 1 + 54 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13503801545091 and 13503801545100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38254395136 + ... + 38254395488.

It is an arithmetic number, because the mean of its divisors is an integer number (37831328640).

Almost surely, 2^{13503801545136} is an apocalyptic number.

13503801545136 is a gapful number since it is divisible by the number (16) 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 13503801545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212050329600).

13503801545136 is an abundant number, since it is smaller than the sum of its proper divisors (34920299114064).

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

13503801545136 is a wasteful number, since it uses less digits than its factorization.

13503801545136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13503801545136 in words is "thirteen trillion, five hundred three billion, eight hundred one million, five hundred forty-five thousand, one hundred thirty-six".