13120164 has 48 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4265280.

The previous prime is 13120153. The next prime is 13120181. The reversal of 13120164 is 46102131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^13120164 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 13120164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

13120164 is an abundant number, since it is smaller than the sum of its proper divisors (21736476).

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

13120164 is a wasteful number, since it uses less digits than its factorization.

13120164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13120164 is about 3622.1766936471. The cubic root of 13120164 is about 235.8557243228.

Adding to 13120164 its reverse (46102131), we get a palindrome (59222295).

The spelling of 13120164 in words is "thirteen million, one hundred twenty thousand, one hundred sixty-four".