149716800 has 252 divisors, whose sum is σ = 548455596. Its totient is φ = 38707200.

The previous prime is 149716799. The next prime is 149716813. The reversal of 149716800 is 8617941.

149716800 is a `hidden beast` number, since 1 + 497 + 168 + 0 + 0 = 666.

149716800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4562496 + 145154304 = 2136^2 + 12048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532660 + ... + 532940.

Almost surely, 2^149716800 is an apocalyptic number.

149716800 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 149716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274227798).

149716800 is an abundant number, since it is smaller than the sum of its proper divisors (398738796).

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

149716800 is a wasteful number, since it uses less digits than its factorization.

149716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 149716800 is about 12235.8816601012. The cubic root of 149716800 is about 530.9946907020.

The spelling of 149716800 in words is "one hundred forty-nine million, seven hundred sixteen thousand, eight hundred".