149644800 has 240 divisors, whose sum is σ = 550537680. Its totient is φ = 39813120.

The previous prime is 149644777. The next prime is 149644801. The reversal of 149644800 is 8446941.

It is a happy number.

149644800 is a `hidden beast` number, since 1 + 4 + 9 + 644 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149644801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345384 + ... + 345816.

It is an arithmetic number, because the mean of its divisors is an integer number (2293907).

Almost surely, 2^149644800 is an apocalyptic number.

149644800 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 149644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275268840).

149644800 is an abundant number, since it is smaller than the sum of its proper divisors (400892880).

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

149644800 is an equidigital number, since it uses as much as digits as its factorization.

149644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149644800 is about 12232.9391398797. The cubic root of 149644800 is about 530.9095571966.

The spelling of 149644800 in words is "one hundred forty-nine million, six hundred forty-four thousand, eight hundred".