13951152 has 120 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 4239360.

The previous prime is 13951141. The next prime is 13951159. The reversal of 13951152 is 25115931.

It is not an unprimeable number, because it can be changed into a prime (13951159) 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, 100299 + ... + 100437.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^13951152 is an apocalyptic number.

13951152 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 13951152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13951152 is an abundant number, since it is smaller than the sum of its proper divisors (28702368).

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

13951152 is a wasteful number, since it uses less digits than its factorization.

13951152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 13951152 is about 3735.1240943240. The cubic root of 13951152 is about 240.7335887468.

The spelling of 13951152 in words is "thirteen million, nine hundred fifty-one thousand, one hundred fifty-two".