149928192 has 144 divisors (see below), whose sum is σ = 449680000. Its totient is φ = 49268736.

The previous prime is 149928169. The next prime is 149928193. The reversal of 149928192 is 291829941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (149928193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753309 + ... + 753507.

Almost surely, 2^149928192 is an apocalyptic number.

149928192 is a gapful number since it is divisible by the number (12) 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 149928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224840000).

149928192 is an abundant number, since it is smaller than the sum of its proper divisors (299751808).

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

149928192 is a wasteful number, since it uses less digits than its factorization.

149928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 149928192 is about 12244.5168136599. The cubic root of 149928192 is about 531.2444850731.

The spelling of 149928192 in words is "one hundred forty-nine million, nine hundred twenty-eight thousand, one hundred ninety-two".