1340139200 has 168 divisors, whose sum is σ = 3428780544. Its totient is φ = 515200000.

The previous prime is 1340139181. The next prime is 1340139209. The reversal of 1340139200 is 29310431.

It is not an unprimeable number, because it can be changed into a prime (1340139209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5339075 + ... + 5339325.

It is an arithmetic number, because the mean of its divisors is an integer number (20409408).

Almost surely, 2^1340139200 is an apocalyptic number.

1340139200 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 1340139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714390272).

1340139200 is an abundant number, since it is smaller than the sum of its proper divisors (2088641344).

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

1340139200 is a wasteful number, since it uses less digits than its factorization.

1340139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1340139200 is about 36607.9117131803. The cubic root of 1340139200 is about 1102.5119453391.

Adding to 1340139200 its reverse (29310431), we get a palindrome (1369449631).

The spelling of 1340139200 in words is "one billion, three hundred forty million, one hundred thirty-nine thousand, two hundred".