1142838180 has 192 divisors, whose sum is σ = 3896444160. Its totient is φ = 275788800.

The previous prime is 1142838167. The next prime is 1142838181. The reversal of 1142838180 is 818382411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1142838181) 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 63 ways as a sum of consecutive naturals, for example, 2500512 + ... + 2500968.

It is an arithmetic number, because the mean of its divisors is an integer number (20293980).

Almost surely, 2^1142838180 is an apocalyptic number.

1142838180 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 1142838180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948222080).

1142838180 is an abundant number, since it is smaller than the sum of its proper divisors (2753605980).

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

1142838180 is a wasteful number, since it uses less digits than its factorization.

1142838180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1142838180 is about 33805.8897235378. The cubic root of 1142838180 is about 1045.5101345432.

The spelling of 1142838180 in words is "one billion, one hundred forty-two million, eight hundred thirty-eight thousand, one hundred eighty".