13158120 has 64 divisors (see below), whose sum is σ = 40331520. Its totient is φ = 3432704.

The previous prime is 13158113. The next prime is 13158133. The reversal of 13158120 is 2185131.

It is a super-2 number, since 2×13158120² = 346272243868800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4474 + ... + 6806.

It is an arithmetic number, because the mean of its divisors is an integer number (630180).

Almost surely, 2^13158120 is an apocalyptic number.

13158120 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 13158120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165760).

13158120 is an abundant number, since it is smaller than the sum of its proper divisors (27173400).

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

13158120 is a wasteful number, since it uses less digits than its factorization.

13158120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 13158120 is about 3627.4123008007. The cubic root of 13158120 is about 236.0829450856.

The spelling of 13158120 in words is "thirteen million, one hundred fifty-eight thousand, one hundred twenty".