149824672 has 48 divisors (see below), whose sum is σ = 323121960. Its totient is φ = 68067328.

The previous prime is 149824667. The next prime is 149824679. The reversal of 149824672 is 276428941.

It can be written as a sum of positive squares in 4 ways, for example, as 113294736 + 36529936 = 10644^2 + 6044^2 .

It is not an unprimeable number, because it can be changed into a prime (149824679) 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, 11028 + ... + 20524.

Almost surely, 2^149824672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161560980).

149824672 is an abundant number, since it is smaller than the sum of its proper divisors (173297288).

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

149824672 is a wasteful number, since it uses less digits than its factorization.

149824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9545 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 149824672 is about 12240.2888854798. The cubic root of 149824672 is about 531.1221885469.

The spelling of 149824672 in words is "one hundred forty-nine million, eight hundred twenty-four thousand, six hundred seventy-two".