149822400 has 420 divisors, whose sum is σ = 617542072. Its totient is φ = 31610880.

The previous prime is 149822399. The next prime is 149822441. The reversal of 149822400 is 4228941.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 59 ways as a sum of consecutive naturals, for example, 11524794 + ... + 11524806.

Almost surely, 2^149822400 is an apocalyptic number.

149822400 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 149822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308771036).

149822400 is an abundant number, since it is smaller than the sum of its proper divisors (467719672).

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

149822400 is an equidigital number, since it uses as much as digits as its factorization.

149822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 149822400 is about 12240.1960768609. The cubic root of 149822400 is about 531.1195038184.

The spelling of 149822400 in words is "one hundred forty-nine million, eight hundred twenty-two thousand, four hundred".