149952128 has 32 divisors (see below), whose sum is σ = 300034020. Its totient is φ = 74649600.

The previous prime is 149952119. The next prime is 149952149. The reversal of 149952128 is 821259941.

It can be written as a sum of positive squares in 2 ways, for example, as 129231424 + 20720704 = 11368^2 + 4552^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28418 + ... + 33278.

Almost surely, 2^149952128 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 149952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150017010).

149952128 is an abundant number, since it is smaller than the sum of its proper divisors (150081892).

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

149952128 is an equidigital number, since it uses as much as digits as its factorization.

149952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5104 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 149952128 is about 12245.4941917425. The cubic root of 149952128 is about 531.2727545871.

The spelling of 149952128 in words is "one hundred forty-nine million, nine hundred fifty-two thousand, one hundred twenty-eight".