193140900 has 108 divisors (see below), whose sum is σ = 614616912. Its totient is φ = 50719680.

The previous prime is 193140889. The next prime is 193140901. The reversal of 193140900 is 9041391.

It is not an unprimeable number, because it can be changed into a prime (193140901) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58699 + ... + 61901.

Almost surely, 2^193140900 is an apocalyptic number.

193140900 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 193140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307308456).

193140900 is an abundant number, since it is smaller than the sum of its proper divisors (421476012).

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

193140900 is a wasteful number, since it uses less digits than its factorization.

193140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 193140900 is about 13897.5141662097. The cubic root of 193140900 is about 578.0402545369.

The spelling of 193140900 in words is "one hundred ninety-three million, one hundred forty thousand, nine hundred".