13945152 has 112 divisors (see below), whose sum is σ = 41078912. Its totient is φ = 4147200.

The previous prime is 13945121. The next prime is 13945157. The reversal of 13945152 is 25154931.

Its product of digits (5400) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92277 + ... + 92427.

It is an arithmetic number, because the mean of its divisors is an integer number (366776).

Almost surely, 2^13945152 is an apocalyptic number.

13945152 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 13945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539456).

13945152 is an abundant number, since it is smaller than the sum of its proper divisors (27133760).

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

13945152 is a wasteful number, since it uses less digits than its factorization.

13945152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 13945152 is about 3734.3208217827. The cubic root of 13945152 is about 240.6990728720.

The spelling of 13945152 in words is "thirteen million, nine hundred forty-five thousand, one hundred fifty-two".