149645600 has 72 divisors (see below), whose sum is σ = 393451380. Its totient is φ = 55249920.

The previous prime is 149645569. The next prime is 149645647. The reversal of 149645600 is 6546941.

It can be written as a sum of positive squares in 6 ways, for example, as 16289296 + 133356304 = 4036^2 + 11548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3206 + ... + 17594.

Almost surely, 2^149645600 is an apocalyptic number.

149645600 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 149645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196725690).

149645600 is an abundant number, since it is smaller than the sum of its proper divisors (243805780).

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

149645600 is a wasteful number, since it uses less digits than its factorization.

149645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 149645600 is about 12232.9718384373. The cubic root of 149645600 is about 530.9105032745.

The spelling of 149645600 in words is "one hundred forty-nine million, six hundred forty-five thousand, six hundred".