149819328 has 112 divisors (see below), whose sum is σ = 443443360. Its totient is φ = 49600512.

The previous prime is 149819297. The next prime is 149819333. The reversal of 149819328 is 823918941.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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, 478500 + ... + 478812.

Almost surely, 2^149819328 is an apocalyptic number.

149819328 is a gapful number since it is divisible by the number (18) 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 149819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221721680).

149819328 is an abundant number, since it is smaller than the sum of its proper divisors (293624032).

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

149819328 is a wasteful number, since it uses less digits than its factorization.

149819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 149819328 is about 12240.0705880318. The cubic root of 149819328 is about 531.1158737197.

The spelling of 149819328 in words is "one hundred forty-nine million, eight hundred nineteen thousand, three hundred twenty-eight".