13137408 has 60 divisors (see below), whose sum is σ = 37928748. Its totient is φ = 4377600.

The previous prime is 13137401. The next prime is 13137409. The reversal of 13137408 is 80473131.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3183 + ... + 6033.

Almost surely, 2^13137408 is an apocalyptic number.

13137408 is a gapful number since it is divisible by the number (18) 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 13137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964374).

13137408 is an abundant number, since it is smaller than the sum of its proper divisors (24791340).

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

13137408 is an equidigital number, since it uses as much as digits as its factorization.

13137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13137408 is about 3624.5562487013. The cubic root of 13137408 is about 235.9590084890.

The spelling of 13137408 in words is "thirteen million, one hundred thirty-seven thousand, four hundred eight".