149583200 has 144 divisors (see below), whose sum is σ = 414504720. Its totient is φ = 52254720.

The previous prime is 149583151. The next prime is 149583223. The reversal of 149583200 is 2385941.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 197222 + ... + 197978.

It is an arithmetic number, because the mean of its divisors is an integer number (2878505).

Almost surely, 2^149583200 is an apocalyptic number.

149583200 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 149583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207252360).

149583200 is an abundant number, since it is smaller than the sum of its proper divisors (264921520).

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

149583200 is a wasteful number, since it uses less digits than its factorization.

149583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 149583200 is about 12230.4210884172. The cubic root of 149583200 is about 530.8366990748.

The spelling of 149583200 in words is "one hundred forty-nine million, five hundred eighty-three thousand, two hundred".