14909148 has 72 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 4626720.

The previous prime is 14909137. The next prime is 14909159. The reversal of 14909148 is 84190941.

It is an interprime number because it is at equal distance from previous prime (14909137) and next prime (14909159).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48411 + ... + 48717.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 2^14909148 is an apocalyptic number.

14909148 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 14909148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

14909148 is an abundant number, since it is smaller than the sum of its proper divisors (25451172).

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

14909148 is a wasteful number, since it uses less digits than its factorization.

14909148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14909148 is about 3861.2365894879. The cubic root of 14909148 is about 246.1222870097.

The spelling of 14909148 in words is "fourteen million, nine hundred nine thousand, one hundred forty-eight".