196200144 has 200 divisors, whose sum is σ = 658975680. Its totient is φ = 55427328.

The previous prime is 196200139. The next prime is 196200149. The reversal of 196200144 is 441002691.

196200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196200139) and next prime (196200149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196200149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2204452 + ... + 2204540.

Almost surely, 2^196200144 is an apocalyptic number.

196200144 is a gapful number since it is divisible by the number (14) 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 196200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329487840).

196200144 is an abundant number, since it is smaller than the sum of its proper divisors (462775536).

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

196200144 is an frugal number, since it uses more digits than its factorization.

196200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 196200144 is about 14007.1461761488. The cubic root of 196200144 is about 581.0762260964.

The spelling of 196200144 in words is "one hundred ninety-six million, two hundred thousand, one hundred forty-four".