14972148 has 48 divisors (see below), whose sum is σ = 39108160. Its totient is φ = 4953312.

The previous prime is 14972147. The next prime is 14972173. The reversal of 14972148 is 84127941.

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 (14972143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16515 + ... + 17397.

Almost surely, 2^14972148 is an apocalyptic number.

14972148 is a gapful number since it is divisible by the number (18) 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 14972148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554080).

14972148 is an abundant number, since it is smaller than the sum of its proper divisors (24136012).

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

14972148 is a wasteful number, since it uses less digits than its factorization.

14972148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 14972148 is about 3869.3859978038. The cubic root of 14972148 is about 246.4684707742.

It can be divided in two parts, 149721 and 48, that added together give a square (149769 = 387²).

The spelling of 14972148 in words is "fourteen million, nine hundred seventy-two thousand, one hundred forty-eight".