13114140 has 192 divisors, whose sum is σ = 44706816. Its totient is φ = 2838528.

The previous prime is 13114139. The next prime is 13114141. The reversal of 13114140 is 4141131.

It is an interprime number because it is at equal distance from previous prime (13114139) and next prime (13114141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304959 + ... + 305001.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 2^13114140 is an apocalyptic number.

13114140 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 13114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

13114140 is an abundant number, since it is smaller than the sum of its proper divisors (31592676).

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

13114140 is a wasteful number, since it uses less digits than its factorization.

13114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13114140 is about 3621.3450539820. The cubic root of 13114140 is about 235.8196218171.

Adding to 13114140 its reverse (4141131), we get a palindrome (17255271).

The spelling of 13114140 in words is "thirteen million, one hundred fourteen thousand, one hundred forty".