13125140 has 72 divisors (see below), whose sum is σ = 32749920. Its totient is φ = 4404288.

The previous prime is 13125127. The next prime is 13125169. The reversal of 13125140 is 4152131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57707 + ... + 57933.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^13125140 is an apocalyptic number.

13125140 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 13125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374960).

13125140 is an abundant number, since it is smaller than the sum of its proper divisors (19624780).

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

13125140 is a wasteful number, since it uses less digits than its factorization.

13125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13125140 is about 3622.8635083315. The cubic root of 13125140 is about 235.8855377140.

Adding to 13125140 its reverse (4152131), we get a palindrome (17277271).

The spelling of 13125140 in words is "thirteen million, one hundred twenty-five thousand, one hundred forty".