1033142000 has 160 divisors (see below), whose sum is σ = 2752109568. Its totient is φ = 372000000.

The previous prime is 1033141927. The next prime is 1033142021. The reversal of 1033142000 is 2413301.

It is a congruent number.

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, 3321845 + ... + 3322155.

Almost surely, 2^1033142000 is an apocalyptic number.

1033142000 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 1033142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376054784).

1033142000 is an abundant number, since it is smaller than the sum of its proper divisors (1718967568).

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

1033142000 is a wasteful number, since it uses less digits than its factorization.

1033142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1033142000 is about 32142.5263475042. The cubic root of 1033142000 is about 1010.9274883806.

Adding to 1033142000 its reverse (2413301), we get a palindrome (1035555301).

The spelling of 1033142000 in words is "one billion, thirty-three million, one hundred forty-two thousand".