189148800 has 384 divisors, whose sum is σ = 705758400. Its totient is φ = 44236800.

The previous prime is 189148777. The next prime is 189148807. The reversal of 189148800 is 8841981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (189148807) 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 47 ways as a sum of consecutive naturals, for example, 3100770 + ... + 3100830.

Almost surely, 2^189148800 is an apocalyptic number.

189148800 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 189148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352879200).

189148800 is an abundant number, since it is smaller than the sum of its proper divisors (516609600).

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

189148800 is a wasteful number, since it uses less digits than its factorization.

189148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 189148800 is about 13753.1378237841. The cubic root of 189148800 is about 574.0299207007.

The spelling of 189148800 in words is "one hundred eighty-nine million, one hundred forty-eight thousand, eight hundred".