13145556840 has 192 divisors, whose sum is σ = 43860268800. Its totient is φ = 3148194816.

The previous prime is 13145556779. The next prime is 13145556841. The reversal of 13145556840 is 4865554131.

It is a junction number, because it is equal to n+sod(n) for n = 13145556792 and 13145556801.

It is not an unprimeable number, because it can be changed into a prime (13145556841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741601 + ... + 759119.

It is an arithmetic number, because the mean of its divisors is an integer number (228438900).

Almost surely, 2^13145556840 is an apocalyptic number.

13145556840 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 13145556840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930134400).

13145556840 is an abundant number, since it is smaller than the sum of its proper divisors (30714711960).

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

13145556840 is a wasteful number, since it uses less digits than its factorization.

13145556840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 13145556840 in words is "thirteen billion, one hundred forty-five million, five hundred fifty-six thousand, eight hundred forty".