149932800 has 324 divisors, whose sum is σ = 568375080. Its totient is φ = 37601280.

The previous prime is 149932793. The next prime is 149932823. The reversal of 149932800 is 8239941.

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

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 35 ways as a sum of consecutive naturals, for example, 1094332 + ... + 1094468.

Almost surely, 2^149932800 is an apocalyptic number.

149932800 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 149932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284187540).

149932800 is an abundant number, since it is smaller than the sum of its proper divisors (418442280).

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

149932800 is a wasteful number, since it uses less digits than its factorization.

149932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149932800 is about 12244.7049780711. The cubic root of 149932800 is about 531.2499275663.

The spelling of 149932800 in words is "one hundred forty-nine million, nine hundred thirty-two thousand, eight hundred".