1003142088 has 144 divisors (see below), whose sum is σ = 3097458000. Its totient is φ = 292346496.

The previous prime is 1003142071. The next prime is 1003142089. The reversal of 1003142088 is 8802413001.

It is not an unprimeable number, because it can be changed into a prime (1003142089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229023 + ... + 233361.

It is an arithmetic number, because the mean of its divisors is an integer number (21510125).

Almost surely, 2^1003142088 is an apocalyptic number.

1003142088 is a gapful number since it is divisible by the number (18) 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 1003142088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548729000).

1003142088 is an abundant number, since it is smaller than the sum of its proper divisors (2094315912).

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

1003142088 is a wasteful number, since it uses less digits than its factorization.

1003142088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1003142088 is about 31672.4184109771. The cubic root of 1003142088 is about 1001.0462676090.

Adding to 1003142088 its reverse (8802413001), we get a palindrome (9805555089).

The spelling of 1003142088 in words is "one billion, three million, one hundred forty-two thousand, eighty-eight".