13125960 has 144 divisors (see below), whose sum is σ = 45468540. Its totient is φ = 3283200.

The previous prime is 13125947. The next prime is 13125961. The reversal of 13125960 is 6952131.

13125960 = T₂₃₅ + T₂₃₆ + ... + T₄₅₀.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 636804 = 3534^2 + 798^2 .

It is not an unprimeable number, because it can be changed into a prime (13125961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129910 + ... + 130010.

Almost surely, 2^13125960 is an apocalyptic number.

13125960 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 13125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734270).

13125960 is an abundant number, since it is smaller than the sum of its proper divisors (32342580).

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

13125960 is a wasteful number, since it uses less digits than its factorization.

13125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13125960 is about 3622.9766767121. The cubic root of 13125960 is about 235.8904499692.

The spelling of 13125960 in words is "thirteen million, one hundred twenty-five thousand, nine hundred sixty".