149600304 has 160 divisors (see below), whose sum is σ = 499412480. Its totient is φ = 41990400.

The previous prime is 149600293. The next prime is 149600329. The reversal of 149600304 is 403006941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184059 + ... + 184869.

It is an arithmetic number, because the mean of its divisors is an integer number (3121328).

Almost surely, 2^149600304 is an apocalyptic number.

149600304 is a gapful number since it is divisible by the number (14) 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 149600304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249706240).

149600304 is an abundant number, since it is smaller than the sum of its proper divisors (349812176).

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

149600304 is a wasteful number, since it uses less digits than its factorization.

149600304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 149600304 is about 12231.1203084591. The cubic root of 149600304 is about 530.8569310369.

The spelling of 149600304 in words is "one hundred forty-nine million, six hundred thousand, three hundred four".