13146408 has 96 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 3975840.

The previous prime is 13146379. The next prime is 13146421. The reversal of 13146408 is 80464131.

13146408 is a `hidden beast` number, since 1 + 3 + 14 + 640 + 8 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25885 + ... + 26387.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^13146408 is an apocalyptic number.

13146408 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 13146408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

13146408 is an abundant number, since it is smaller than the sum of its proper divisors (27072792).

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

13146408 is a wasteful number, since it uses less digits than its factorization.

13146408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13146408 is about 3625.7975674326. The cubic root of 13146408 is about 236.0128787380.

The spelling of 13146408 in words is "thirteen million, one hundred forty-six thousand, four hundred eight".