14629152 has 48 divisors (see below), whose sum is σ = 38822112. Its totient is φ = 4823040.

The previous prime is 14629151. The next prime is 14629157. The reversal of 14629152 is 25192641.

14629152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14629151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8527 + ... + 10097.

It is an arithmetic number, because the mean of its divisors is an integer number (808794).

Almost surely, 2^14629152 is an apocalyptic number.

14629152 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 14629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411056).

14629152 is an abundant number, since it is smaller than the sum of its proper divisors (24192960).

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

14629152 is a wasteful number, since it uses less digits than its factorization.

14629152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 14629152 is about 3824.8074461337. The cubic root of 14629152 is about 244.5718023818.

The spelling of 14629152 in words is "fourteen million, six hundred twenty-nine thousand, one hundred fifty-two".