1358140000 has 240 divisors, whose sum is σ = 3896877600. Its totient is φ = 456192000.

The previous prime is 1358139967. The next prime is 1358140001. The reversal of 1358140000 is 418531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12459946 + ... + 12460054.

It is an arithmetic number, because the mean of its divisors is an integer number (16236990).

Almost surely, 2^1358140000 is an apocalyptic number.

1358140000 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 1358140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948438800).

1358140000 is an abundant number, since it is smaller than the sum of its proper divisors (2538737600).

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

1358140000 is an equidigital number, since it uses as much as digits as its factorization.

1358140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1358140000 is about 36852.9510351613. The cubic root of 1358140000 is about 1107.4263344276.

Adding to 1358140000 its reverse (418531), we get a palindrome (1358558531).

The spelling of 1358140000 in words is "one billion, three hundred fifty-eight million, one hundred forty thousand".