13921152 has 64 divisors (see below), whose sum is σ = 42268800. Its totient is φ = 3976704.

The previous prime is 13921123. The next prime is 13921163. The reversal of 13921152 is 25112931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (660450).

Almost surely, 2^13921152 is an apocalyptic number.

13921152 is a gapful number since it is divisible by the number (12) 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 13921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134400).

13921152 is an abundant number, since it is smaller than the sum of its proper divisors (28347648).

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

13921152 is an equidigital number, since it uses as much as digits as its factorization.

13921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5191 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 13921152 is about 3731.1060022465. The cubic root of 13921152 is about 240.5609102829.

The spelling of 13921152 in words is "thirteen million, nine hundred twenty-one thousand, one hundred fifty-two".