1368001152 has 288 divisors, whose sum is σ = 4787284320. Its totient is φ = 367239168.

The previous prime is 1368001069. The next prime is 1368001157. The reversal of 1368001152 is 2511008631.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1368001157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2330203 + ... + 2330789.

It is an arithmetic number, because the mean of its divisors is an integer number (16622515).

Almost surely, 2^1368001152 is an apocalyptic number.

1368001152 is a gapful number since it is divisible by the number (12) 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 1368001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393642160).

1368001152 is an abundant number, since it is smaller than the sum of its proper divisors (3419283168).

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

1368001152 is a wasteful number, since it uses less digits than its factorization.

1368001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1368001152 is about 36986.4995910670. The cubic root of 1368001152 is about 1110.1001321892.

Adding to 1368001152 its reverse (2511008631), we get a palindrome (3879009783).

The spelling of 1368001152 in words is "one billion, three hundred sixty-eight million, one thousand, one hundred fifty-two".