149914800 has 300 divisors, whose sum is σ = 615824176. Its totient is φ = 34214400.

The previous prime is 149914781. The next prime is 149914801. The reversal of 149914800 is 8419941.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (149914801) by changing a digit.

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, 226470 + ... + 227130.

Almost surely, 2^149914800 is an apocalyptic number.

149914800 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 149914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307912088).

149914800 is an abundant number, since it is smaller than the sum of its proper divisors (465909376).

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

149914800 is a wasteful number, since it uses less digits than its factorization.

149914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149914800 is about 12243.9699444257. The cubic root of 149914800 is about 531.2286671941.

It can be divided in two parts, 14991 and 4800, that added together give a palindrome (19791).

The spelling of 149914800 in words is "one hundred forty-nine million, nine hundred fourteen thousand, eight hundred".