1005132140 has 48 divisors (see below), whose sum is σ = 2243832192. Its totient is φ = 376897536.

The previous prime is 1005132113. The next prime is 1005132151. The reversal of 1005132140 is 412315001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81629 + ... + 93131.

It is an arithmetic number, because the mean of its divisors is an integer number (46746504).

Almost surely, 2^1005132140 is an apocalyptic number.

1005132140 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 1005132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121916096).

1005132140 is an abundant number, since it is smaller than the sum of its proper divisors (1238700052).

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

1005132140 is a wasteful number, since it uses less digits than its factorization.

1005132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1005132140 is about 31703.8190128571. The cubic root of 1005132140 is about 1001.7077951089.

Adding to 1005132140 its reverse (412315001), we get a palindrome (1417447141).

The spelling of 1005132140 in words is "one billion, five million, one hundred thirty-two thousand, one hundred forty".