149268224 has 72 divisors (see below), whose sum is σ = 351633408. Its totient is φ = 61885440.

The previous prime is 149268187. The next prime is 149268227. The reversal of 149268224 is 422862941.

It is a happy number.

It is a super-2 number, since 2×149268224² = 44562005392228352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149268227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54209 + ... + 56895.

Almost surely, 2^149268224 is an apocalyptic number.

149268224 is a gapful number since it is divisible by the number (14) 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 149268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816704).

149268224 is an abundant number, since it is smaller than the sum of its proper divisors (202365184).

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

149268224 is an equidigital number, since it uses as much as digits as its factorization.

149268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2727 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 149268224 is about 12217.5375587718. The cubic root of 149268224 is about 530.4638445578.

The spelling of 149268224 in words is "one hundred forty-nine million, two hundred sixty-eight thousand, two hundred twenty-four".