149436800 has 192 divisors, whose sum is σ = 406380240. Its totient is φ = 54067200.

The previous prime is 149436799. The next prime is 149436803. The reversal of 149436800 is 8634941.

149436800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149436803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230367 + ... + 2230433.

Almost surely, 2^149436800 is an apocalyptic number.

149436800 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 149436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203190120).

149436800 is an abundant number, since it is smaller than the sum of its proper divisors (256943440).

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

149436800 is a wasteful number, since it uses less digits than its factorization.

149436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 149436800 is about 12224.4345472500. The cubic root of 149436800 is about 530.6634624634.

The spelling of 149436800 in words is "one hundred forty-nine million, four hundred thirty-six thousand, eight hundred".