13249152 has 192 divisors, whose sum is σ = 45826560. Its totient is φ = 3594240.

The previous prime is 13249147. The next prime is 13249153. The reversal of 13249152 is 25194231.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (13249153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249958 + ... + 250010.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^13249152 is an apocalyptic number.

13249152 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 13249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

13249152 is an abundant number, since it is smaller than the sum of its proper divisors (32577408).

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

13249152 is a wasteful number, since it uses less digits than its factorization.

13249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 13249152 is about 3639.9384610183. The cubic root of 13249152 is about 236.6261263187.

It can be divided in two parts, 132 and 49152, that added together give a square (49284 = 222²).

The spelling of 13249152 in words is "thirteen million, two hundred forty-nine thousand, one hundred fifty-two".