13500310164 has 144 divisors (see below), whose sum is σ = 36689103360. Its totient is φ = 3830935040.

The previous prime is 13500310157. The next prime is 13500310177. The reversal of 13500310164 is 46101300531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8658817 + ... + 8660375.

It is an arithmetic number, because the mean of its divisors is an integer number (254785440).

Almost surely, 2^13500310164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13500310164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344551680).

13500310164 is an abundant number, since it is smaller than the sum of its proper divisors (23188793196).

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

13500310164 is a wasteful number, since it uses less digits than its factorization.

13500310164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13500310164 its reverse (46101300531), we get a palindrome (59601610695).

The spelling of 13500310164 in words is "thirteen billion, five hundred million, three hundred ten thousand, one hundred sixty-four".