149816304 has 240 divisors, whose sum is σ = 493968384. Its totient is φ = 43545600.

The previous prime is 149816269. The next prime is 149816309. The reversal of 149816304 is 403618941.

149816304 is a `hidden beast` number, since 1 + 498 + 163 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149816309) 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 47 ways as a sum of consecutive naturals, for example, 1325752 + ... + 1325864.

Almost surely, 2^149816304 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 149816304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

149816304 is an abundant number, since it is smaller than the sum of its proper divisors (344152080).

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

149816304 is a wasteful number, since it uses less digits than its factorization.

149816304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149816304 is about 12239.9470587090. The cubic root of 149816304 is about 531.1123002929.

The spelling of 149816304 in words is "one hundred forty-nine million, eight hundred sixteen thousand, three hundred four".