1359136000 has 72 divisors (see below), whose sum is σ = 3385857384. Its totient is φ = 543641600.

The previous prime is 1359135991. The next prime is 1359136001. The reversal of 1359136000 is 6319531.

It can be written as a sum of positive squares in 4 ways, for example, as 200958976 + 1158177024 = 14176^2 + 34032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1359136000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359136001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10764 + ... + 53236.

It is an arithmetic number, because the mean of its divisors is an integer number (47025797).

Almost surely, 2^1359136000 is an apocalyptic number.

1359136000 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 1359136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692928692).

1359136000 is an abundant number, since it is smaller than the sum of its proper divisors (2026721384).

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

1359136000 is an frugal number, since it uses more digits than its factorization.

1359136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42504 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 1359136000 is about 36866.4617233604. The cubic root of 1359136000 is about 1107.6969808287.

The spelling of 1359136000 in words is "one billion, three hundred fifty-nine million, one hundred thirty-six thousand".