193140 has 72 divisors (see below), whose sum is σ = 622440. Its totient is φ = 48384.

The previous prime is 193139. The next prime is 193147. The reversal of 193140 is 41391.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 138384 = 234^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193147) 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, 5202 + ... + 5238.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2¹⁹³¹⁴⁰ is an apocalyptic number.

193140 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 193140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

193140 is an abundant number, since it is smaller than the sum of its proper divisors (429300).

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

193140 is a wasteful number, since it uses less digits than its factorization.

193140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 193140 is about 439.4769618535. The cubic root of 193140 is about 57.8039356683.

It can be divided in two parts, 193 and 140, that added together give a palindrome (333).

The spelling of 193140 in words is "one hundred ninety-three thousand, one hundred forty".