195134400 has 168 divisors, whose sum is σ = 711494640. Its totient is φ = 52024320.

The previous prime is 195134377. The next prime is 195134413. The reversal of 195134400 is 4431591.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40942 + ... + 45458.

Almost surely, 2^195134400 is an apocalyptic number.

195134400 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 195134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355747320).

195134400 is an abundant number, since it is smaller than the sum of its proper divisors (516360240).

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

195134400 is a wasteful number, since it uses less digits than its factorization.

195134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 195134400 is about 13969.0515068132. The cubic root of 195134400 is about 580.0221949493.

Adding to 195134400 its reverse (4431591), we get a palindrome (199565991).

The spelling of 195134400 in words is "one hundred ninety-five million, one hundred thirty-four thousand, four hundred".