13149920 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4409856.

The previous prime is 13149901. The next prime is 13149931. The reversal of 13149920 is 2994131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65981 + ... + 66179.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^13149920 is an apocalyptic number.

13149920 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 13149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13149920 is an abundant number, since it is smaller than the sum of its proper divisors (23138080).

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

13149920 is a wasteful number, since it uses less digits than its factorization.

13149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 13149920 is about 3626.2818423283. The cubic root of 13149920 is about 236.0338934372.

The spelling of 13149920 in words is "thirteen million, one hundred forty-nine thousand, nine hundred twenty".