1024132140 has 96 divisors (see below), whose sum is σ = 3191348160. Its totient is φ = 272659968.

The previous prime is 1024132133. The next prime is 1024132157. The reversal of 1024132140 is 412314201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461674 + ... + 463886.

It is an arithmetic number, because the mean of its divisors is an integer number (33243210).

Almost surely, 2^1024132140 is an apocalyptic number.

1024132140 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 1024132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595674080).

1024132140 is an abundant number, since it is smaller than the sum of its proper divisors (2167216020).

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

1024132140 is a wasteful number, since it uses less digits than its factorization.

1024132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024132140 is about 32002.0646208959. The cubic root of 1024132140 is about 1007.9801937718.

Adding to 1024132140 its reverse (412314201), we get a palindrome (1436446341).

The spelling of 1024132140 in words is "one billion, twenty-four million, one hundred thirty-two thousand, one hundred forty".