188345000 has 80 divisors (see below), whose sum is σ = 446107200. Its totient is φ = 74520000.

The previous prime is 188344991. The next prime is 188345009. The reversal of 188345000 is 543881.

188345000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (188344991) and next prime (188345009).

It is not an unprimeable number, because it can be changed into a prime (188345009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694865 + ... + 695135.

It is an arithmetic number, because the mean of its divisors is an integer number (5576340).

Almost surely, 2^188345000 is an apocalyptic number.

188345000 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 188345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223053600).

188345000 is an abundant number, since it is smaller than the sum of its proper divisors (257762200).

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

188345000 is a wasteful number, since it uses less digits than its factorization.

188345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 188345000 is about 13723.8842898066. The cubic root of 188345000 is about 573.2156404654.

Adding to 188345000 its reverse (543881), we get a palindrome (188888881).

The spelling of 188345000 in words is "one hundred eighty-eight million, three hundred forty-five thousand".