149509800 has 240 divisors, whose sum is σ = 567151200. Its totient is φ = 36201600.

The previous prime is 149509799. The next prime is 149509813. The reversal of 149509800 is 8905941.

149509800 is a `hidden beast` number, since 149 + 509 + 8 + 0 + 0 = 666.

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

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 59 ways as a sum of consecutive naturals, for example, 177781 + ... + 178619.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^149509800 is an apocalyptic number.

149509800 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 149509800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283575600).

149509800 is an abundant number, since it is smaller than the sum of its proper divisors (417641400).

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

149509800 is a wasteful number, since it uses less digits than its factorization.

149509800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 149509800 is about 12227.4200058720. The cubic root of 149509800 is about 530.7498582431.

The spelling of 149509800 in words is "one hundred forty-nine million, five hundred nine thousand, eight hundred".