198152800 has 36 divisors (see below), whose sum is σ = 483742476. Its totient is φ = 79260800.

The previous prime is 198152791. The next prime is 198152807. The reversal of 198152800 is 8251891.

198152800 is digitally balanced in base 2, 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 (198152807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123046 + ... + 124645.

It is an arithmetic number, because the mean of its divisors is an integer number (13437291).

Almost surely, 2^198152800 is an apocalyptic number.

198152800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198152800 is an abundant number, since it is smaller than the sum of its proper divisors (285589676).

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

198152800 is a wasteful number, since it uses less digits than its factorization.

198152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247711 (or 247698 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 198152800 is about 14076.6757439390. The cubic root of 198152800 is about 582.9975609582.

The spelling of 198152800 in words is "one hundred ninety-eight million, one hundred fifty-two thousand, eight hundred".