13124160 has 336 divisors, whose sum is σ = 55595520. Its totient is φ = 2903040.

The previous prime is 13124149. The next prime is 13124179. The reversal of 13124160 is 6142131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423345 + ... + 423375.

Almost surely, 2^13124160 is an apocalyptic number.

13124160 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 13124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

13124160 is an abundant number, since it is smaller than the sum of its proper divisors (42471360).

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

13124160 is a wasteful number, since it uses less digits than its factorization.

13124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13124160 is about 3622.7282536784. The cubic root of 13124160 is about 235.8796667016.

Adding to 13124160 its reverse (6142131), we get a palindrome (19266291).

The spelling of 13124160 in words is "thirteen million, one hundred twenty-four thousand, one hundred sixty".