13155120 has 180 divisors, whose sum is σ = 48882288. Its totient is φ = 3168000.

The previous prime is 13155083. The next prime is 13155133. The reversal of 13155120 is 2155131.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 13155093 and 13155102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87045 + ... + 87195.

Almost surely, 2^13155120 is an apocalyptic number.

13155120 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 13155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441144).

13155120 is an abundant number, since it is smaller than the sum of its proper divisors (35727168).

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

13155120 is a wasteful number, since it uses less digits than its factorization.

13155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 13155120 is about 3626.9987593050. The cubic root of 13155120 is about 236.0650017252.

The spelling of 13155120 in words is "thirteen million, one hundred fifty-five thousand, one hundred twenty".