149221800 has 288 divisors, whose sum is σ = 617460480. Its totient is φ = 31449600.

The previous prime is 149221789. The next prime is 149221829. The reversal of 149221800 is 8122941.

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, 163345 + ... + 164255.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^149221800 is an apocalyptic number.

149221800 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 149221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

149221800 is an abundant number, since it is smaller than the sum of its proper divisors (468238680).

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

149221800 is a wasteful number, since it uses less digits than its factorization.

149221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 149221800 is about 12215.6375191801. The cubic root of 149221800 is about 530.4088455627.

The spelling of 149221800 in words is "one hundred forty-nine million, two hundred twenty-one thousand, eight hundred".