14519952 has 160 divisors (see below), whose sum is σ = 46128000. Its totient is φ = 4354560.

The previous prime is 14519951. The next prime is 14519957. The reversal of 14519952 is 25991541.

14519952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14519951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238002 + ... + 238062.

It is an arithmetic number, because the mean of its divisors is an integer number (288300).

Almost surely, 2^14519952 is an apocalyptic number.

14519952 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 14519952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064000).

14519952 is an abundant number, since it is smaller than the sum of its proper divisors (31608048).

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

14519952 is a wasteful number, since it uses less digits than its factorization.

14519952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 14519952 is about 3810.5054782798. The cubic root of 14519952 is about 243.9617426357.

The spelling of 14519952 in words is "fourteen million, five hundred nineteen thousand, nine hundred fifty-two".