149808000 has 128 divisors (see below), whose sum is σ = 496772640. Its totient is φ = 39936000.

The previous prime is 149807963. The next prime is 149808007. The reversal of 149808000 is 808941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149808007) 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, 46440 + ... + 49560.

Almost surely, 2^149808000 is an apocalyptic number.

149808000 is a gapful number since it is divisible by the number (10) 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 149808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248386320).

149808000 is an abundant number, since it is smaller than the sum of its proper divisors (346964640).

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

149808000 is an equidigital number, since it uses as much as digits as its factorization.

149808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 149808000 is about 12239.6078368549. The cubic root of 149808000 is about 531.1024873022.

The spelling of 149808000 in words is "one hundred forty-nine million, eight hundred eight thousand".