196134400 has 240 divisors, whose sum is σ = 608889600. Its totient is φ = 60825600.

The previous prime is 196134383. The next prime is 196134403. The reversal of 196134400 is 4431691.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196134403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985501 + ... + 985699.

It is an arithmetic number, because the mean of its divisors is an integer number (2537040).

Almost surely, 2^196134400 is an apocalyptic number.

196134400 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 196134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

196134400 is an abundant number, since it is smaller than the sum of its proper divisors (412755200).

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

196134400 is a wasteful number, since it uses less digits than its factorization.

196134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 196134400 is about 14004.7991774249. The cubic root of 196134400 is about 581.0113152653.

The spelling of 196134400 in words is "one hundred ninety-six million, one hundred thirty-four thousand, four hundred".