1020142000 has 160 divisors (see below), whose sum is σ = 2620260864. Its totient is φ = 383328000.

The previous prime is 1020141953. The next prime is 1020142027. The reversal of 1020142000 is 2410201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3081835 + ... + 3082165.

Almost surely, 2^1020142000 is an apocalyptic number.

1020142000 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 1020142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310130432).

1020142000 is an abundant number, since it is smaller than the sum of its proper divisors (1600118864).

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

1020142000 is a wasteful number, since it uses less digits than its factorization.

1020142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1020142000 is about 31939.6618642089. The cubic root of 1020142000 is about 1006.6694199497.

Adding to 1020142000 its reverse (2410201), we get a palindrome (1022552201).

The spelling of 1020142000 in words is "one billion, twenty million, one hundred forty-two thousand".