1140145140 has 96 divisors (see below), whose sum is σ = 3236688000. Its totient is φ = 299851776.

The previous prime is 1140145109. The next prime is 1140145151. The reversal of 1140145140 is 415410411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284611 + ... + 2285109.

It is an arithmetic number, because the mean of its divisors is an integer number (33715500).

Almost surely, 2^1140145140 is an apocalyptic number.

1140145140 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 1140145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618344000).

1140145140 is an abundant number, since it is smaller than the sum of its proper divisors (2096542860).

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

1140145140 is a wasteful number, since it uses less digits than its factorization.

1140145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1140145140 is about 33766.0353017644. The cubic root of 1140145140 is about 1044.6882581631.

Adding to 1140145140 its reverse (415410411), we get a palindrome (1555555551).

The spelling of 1140145140 in words is "one billion, one hundred forty million, one hundred forty-five thousand, one hundred forty".