1350054000 has 320 divisors, whose sum is σ = 5051105280. Its totient is φ = 344044800.

The previous prime is 1350053941. The next prime is 1350054011. The reversal of 1350054000 is 4500531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1241457 + ... + 1242543.

It is an arithmetic number, because the mean of its divisors is an integer number (15784704).

Almost surely, 2^1350054000 is an apocalyptic number.

1350054000 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 1350054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525552640).

1350054000 is an abundant number, since it is smaller than the sum of its proper divisors (3701051280).

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

1350054000 is a wasteful number, since it uses less digits than its factorization.

1350054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1350054000 is about 36743.0809813222. The cubic root of 1350054000 is about 1105.2241855216.

Adding to 1350054000 its reverse (4500531), we get a palindrome (1354554531).

It can be divided in two parts, 13500 and 54000, that multiplied together give a 6-th power (729000000 = 30⁶).

The spelling of 1350054000 in words is "one billion, three hundred fifty million, fifty-four thousand".