199148400 has 360 divisors, whose sum is σ = 777164544. Its totient is φ = 46809600.

The previous prime is 199148381. The next prime is 199148407. The reversal of 199148400 is 4841991.

199148400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199148407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1861147 + ... + 1861253.

Almost surely, 2^199148400 is an apocalyptic number.

199148400 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 199148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388582272).

199148400 is an abundant number, since it is smaller than the sum of its proper divisors (578016144).

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

199148400 is a wasteful number, since it uses less digits than its factorization.

199148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 199148400 is about 14111.9948979583. The cubic root of 199148400 is about 583.9723355883.

It can be divided in two parts, 19 and 9148400, that added together give a palindrome (9148419).

The spelling of 199148400 in words is "one hundred ninety-nine million, one hundred forty-eight thousand, four hundred".