149854800 has 120 divisors (see below), whose sum is σ = 490432896. Its totient is φ = 39096320.

The previous prime is 149854799. The next prime is 149854823. The reversal of 149854800 is 8458941.

149854800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×149854800² = 44912922166080000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 55072 + ... + 57728.

Almost surely, 2^149854800 is an apocalyptic number.

149854800 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 149854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216448).

149854800 is an abundant number, since it is smaller than the sum of its proper divisors (340578096).

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

149854800 is a wasteful number, since it uses less digits than its factorization.

149854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 149854800 is about 12241.5195135245. The cubic root of 149854800 is about 531.1577869937.

The spelling of 149854800 in words is "one hundred forty-nine million, eight hundred fifty-four thousand, eight hundred".