13142960 has 40 divisors (see below), whose sum is σ = 31310496. Its totient is φ = 5127680.

The previous prime is 13142957. The next prime is 13142963. The reversal of 13142960 is 6924131.

It is an interprime number because it is at equal distance from previous prime (13142957) and next prime (13142963).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13142963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277 + ... + 5283.

Almost surely, 2^13142960 is an apocalyptic number.

13142960 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 13142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655248).

13142960 is an abundant number, since it is smaller than the sum of its proper divisors (18167536).

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

13142960 is a wasteful number, since it uses less digits than its factorization.

13142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13142960 is about 3625.3220546594. The cubic root of 13142960 is about 235.9922433532.

Adding to 13142960 its product of nonzero digits (1296), we get a cube (13144256 = 236³).

The spelling of 13142960 in words is "thirteen million, one hundred forty-two thousand, nine hundred sixty".