15158160 has 120 divisors (see below), whose sum is σ = 52373880. Its totient is φ = 3926016.

The previous prime is 15158153. The next prime is 15158161. The reversal of 15158160 is 6185151.

Added to its reverse (6185151) it gives a triangular number (21343311 = T₆₅₃₃).

15158160 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 can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 13220496 = 1392^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (15158161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26356 + ... + 26924.

It is an arithmetic number, because the mean of its divisors is an integer number (436449).

Almost surely, 2^15158160 is an apocalyptic number.

15158160 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 15158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26186940).

15158160 is an abundant number, since it is smaller than the sum of its proper divisors (37215720).

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

15158160 is a wasteful number, since it uses less digits than its factorization.

15158160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 15158160 is about 3893.3481734877. The cubic root of 15158160 is about 247.4849700086.

Adding to 15158160 its reverse (6185151), we get a triangular number (21343311 = T₆₅₃₃).

It can be divided in two parts, 151 and 58160, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 15158160 in words is "fifteen million, one hundred fifty-eight thousand, one hundred sixty".