193872144 has 40 divisors (see below), whose sum is σ = 502204960. Its totient is φ = 64447488.

The previous prime is 193872139. The next prime is 193872187. The reversal of 193872144 is 441278391.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12864 + ... + 23520.

It is an arithmetic number, because the mean of its divisors is an integer number (12555124).

Almost surely, 2^193872144 is an apocalyptic number.

It is an amenable number.

193872144 is an abundant number, since it is smaller than the sum of its proper divisors (308332816).

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

193872144 is a wasteful number, since it uses less digits than its factorization.

193872144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11047 (or 11041 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 193872144 is about 13923.7977577958. The cubic root of 193872144 is about 578.7688351484.

The spelling of 193872144 in words is "one hundred ninety-three million, eight hundred seventy-two thousand, one hundred forty-four".