368145000 has 280 divisors, whose sum is σ = 1306058490. Its totient is φ = 97200000.

The previous prime is 368144981. The next prime is 368145017. The reversal of 368145000 is 541863.

It can be written as a sum of positive squares in 5 ways, for example, as 56340036 + 311804964 = 7506^2 + 17658^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3644950 + ... + 3645050.

Almost surely, 2^368145000 is an apocalyptic number.

368145000 is a gapful number since it is divisible by the number (30) 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 368145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653029245).

368145000 is an abundant number, since it is smaller than the sum of its proper divisors (937913490).

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

368145000 is an equidigital number, since it uses as much as digits as its factorization.

368145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 368145000 is about 19187.1050447951. The cubic root of 368145000 is about 716.7036817610.

Adding to 368145000 its reverse (541863), we get a palindrome (368686863).

It can be divided in two parts, 36814 and 5000, that added together give a palindrome (41814).

The spelling of 368145000 in words is "three hundred sixty-eight million, one hundred forty-five thousand".