13132840 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4055040.

The previous prime is 13132837. The next prime is 13132843. The reversal of 13132840 is 4823131.

It is an interprime number because it is at equal distance from previous prime (13132837) and next prime (13132843).

It is not an unprimeable number, because it can be changed into a prime (13132843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147516 + ... + 147604.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^13132840 is an apocalyptic number.

13132840 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 13132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

13132840 is an abundant number, since it is smaller than the sum of its proper divisors (24191960).

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

13132840 is a wasteful number, since it uses less digits than its factorization.

13132840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13132840 is about 3623.9260478106. The cubic root of 13132840 is about 235.9316569317.

Adding to 13132840 its reverse (4823131), we get a palindrome (17955971).

The spelling of 13132840 in words is "thirteen million, one hundred thirty-two thousand, eight hundred forty".