13164120 has 160 divisors (see below), whose sum is σ = 47044800. Its totient is φ = 3290112.

The previous prime is 13164101. The next prime is 13164127. The reversal of 13164120 is 2146131.

It is a happy number.

13164120 is a `hidden beast` number, since 1 + 3 + 1 + 641 + 20 = 666.

13164120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13164093 and 13164102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13164127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54961 + ... + 55199.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 2^13164120 is an apocalyptic number.

13164120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13164120 is the 2295-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522400).

13164120 is an abundant number, since it is smaller than the sum of its proper divisors (33880680).

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

13164120 is a wasteful number, since it uses less digits than its factorization.

13164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

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

The square root of 13164120 is about 3628.2392423874. The cubic root of 13164120 is about 236.1188236261.

The spelling of 13164120 in words is "thirteen million, one hundred sixty-four thousand, one hundred twenty".