193142400 has 384 divisors, whose sum is σ = 728524800. Its totient is φ = 44544000.

The previous prime is 193142399. The next prime is 193142413. The reversal of 193142400 is 4241391.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 3273571 + ... + 3273629.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^193142400 is an apocalyptic number.

193142400 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 193142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

193142400 is an abundant number, since it is smaller than the sum of its proper divisors (535382400).

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

193142400 is a wasteful number, since it uses less digits than its factorization.

193142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 193142400 is about 13897.5681325907. The cubic root of 193142400 is about 578.0417509542.

Adding to 193142400 its reverse (4241391), we get a palindrome (197383791).

The spelling of 193142400 in words is "one hundred ninety-three million, one hundred forty-two thousand, four hundred".