1342143200 has 288 divisors, whose sum is σ = 3720699360. Its totient is φ = 470220800.

The previous prime is 1342143199. The next prime is 1342143211. The reversal of 1342143200 is 23412431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16170359 + ... + 16170441.

It is an arithmetic number, because the mean of its divisors is an integer number (12919095).

Almost surely, 2^1342143200 is an apocalyptic number.

1342143200 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 1342143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860349680).

1342143200 is an abundant number, since it is smaller than the sum of its proper divisors (2378556160).

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

1342143200 is a wasteful number, since it uses less digits than its factorization.

1342143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1342143200 is about 36635.2726207954. The cubic root of 1342143200 is about 1103.0612249830.

Adding to 1342143200 its reverse (23412431), we get a palindrome (1365555631).

The spelling of 1342143200 in words is "one billion, three hundred forty-two million, one hundred forty-three thousand, two hundred".