1142145200 has 120 divisors (see below), whose sum is σ = 3212815200. Its totient is φ = 382003200.

The previous prime is 1142145149. The next prime is 1142145203. The reversal of 1142145200 is 25412411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1142145203) 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, 109826 + ... + 119774.

It is an arithmetic number, because the mean of its divisors is an integer number (26773460).

Almost surely, 2^1142145200 is an apocalyptic number.

1142145200 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 1142145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606407600).

1142145200 is an abundant number, since it is smaller than the sum of its proper divisors (2070670000).

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

1142145200 is a wasteful number, since it uses less digits than its factorization.

1142145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10015 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1142145200 is about 33795.6387718889. The cubic root of 1142145200 is about 1045.2987706725.

Adding to 1142145200 its reverse (25412411), we get a palindrome (1167557611).

The spelling of 1142145200 in words is "one billion, one hundred forty-two million, one hundred forty-five thousand, two hundred".