149603328 has 176 divisors, whose sum is σ = 507000960. Its totient is φ = 42688512.

The previous prime is 149603297. The next prime is 149603347. The reversal of 149603328 is 823306941.

149603328 is a `hidden beast` number, since 1 + 49 + 603 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149603292 and 149603301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193150 + ... + 193922.

Almost surely, 2^149603328 is an apocalyptic number.

149603328 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 149603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253500480).

149603328 is an abundant number, since it is smaller than the sum of its proper divisors (357397632).

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

149603328 is an equidigital number, since it uses as much as digits as its factorization.

149603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149603328 is about 12231.2439269275. The cubic root of 149603328 is about 530.8605079025.

The spelling of 149603328 in words is "one hundred forty-nine million, six hundred three thousand, three hundred twenty-eight".