149609824 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 58378752.

The previous prime is 149609797. The next prime is 149609827. The reversal of 149609824 is 428906941.

149609824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149609827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241387 + ... + 242005.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^149609824 is an apocalyptic number.

149609824 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 149609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

149609824 is an abundant number, since it is smaller than the sum of its proper divisors (217866656).

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

149609824 is a wasteful number, since it uses less digits than its factorization.

149609824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 149609824 is about 12231.5094734869. The cubic root of 149609824 is about 530.8681913767.

The spelling of 149609824 in words is "one hundred forty-nine million, six hundred nine thousand, eight hundred twenty-four".