193142320 has 120 divisors (see below), whose sum is σ = 540702000. Its totient is φ = 63899136.

The previous prime is 193142311. The next prime is 193142329. The reversal of 193142320 is 23241391.

It is an interprime number because it is at equal distance from previous prime (193142311) and next prime (193142329).

It is not an unprimeable number, because it can be changed into a prime (193142329) 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, 112831 + ... + 114529.

It is an arithmetic number, because the mean of its divisors is an integer number (4505850).

Almost surely, 2^193142320 is an apocalyptic number.

193142320 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 193142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270351000).

193142320 is an abundant number, since it is smaller than the sum of its proper divisors (347559680).

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

193142320 is a wasteful number, since it uses less digits than its factorization.

193142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 193142320 is about 13897.5652543890. The cubic root of 193142320 is about 578.0416711454.

The spelling of 193142320 in words is "one hundred ninety-three million, one hundred forty-two thousand, three hundred twenty".