193530144 has 48 divisors (see below), whose sum is σ = 513747360. Its totient is φ = 63782400.

The previous prime is 193530133. The next prime is 193530149. The reversal of 193530144 is 441035391.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (193530149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 19869.

It is an arithmetic number, because the mean of its divisors is an integer number (10703070).

Almost surely, 2^193530144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256873680).

193530144 is an abundant number, since it is smaller than the sum of its proper divisors (320217216).

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

193530144 is a wasteful number, since it uses less digits than its factorization.

193530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 193530144 is about 13911.5112047541. The cubic root of 193530144 is about 578.4283092687.

The spelling of 193530144 in words is "one hundred ninety-three million, five hundred thirty thousand, one hundred forty-four".