14952000 has 224 divisors, whose sum is σ = 57058560. Its totient is φ = 3379200.

The previous prime is 14951977. The next prime is 14952017. The reversal of 14952000 is 25941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167956 + ... + 168044.

Almost surely, 2^14952000 is an apocalyptic number.

14952000 is a gapful number since it is divisible by the number (10) 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 14952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

14952000 is an abundant number, since it is smaller than the sum of its proper divisors (42106560).

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

14952000 is an equidigital number, since it uses as much as digits as its factorization.

14952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 14952000 is about 3866.7816074870. The cubic root of 14952000 is about 246.3578637117.

Adding to 14952000 its reverse (25941), we get a palindrome (14977941).

The spelling of 14952000 in words is "fourteen million, nine hundred fifty-two thousand".