150166800 has 360 divisors, whose sum is σ = 611657280. Its totient is φ = 33408000.

The previous prime is 150166789. The next prime is 150166813. The reversal of 150166800 is 8661051.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1486750 + ... + 1486850.

It is an arithmetic number, because the mean of its divisors is an integer number (1699048).

Almost surely, 2^150166800 is an apocalyptic number.

150166800 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 150166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305828640).

150166800 is an abundant number, since it is smaller than the sum of its proper divisors (461490480).

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

150166800 is a wasteful number, since it uses less digits than its factorization.

150166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 150166800 is about 12254.2564033890. The cubic root of 150166800 is about 531.5261576899.

The spelling of 150166800 in words is "one hundred fifty million, one hundred sixty-six thousand, eight hundred".