142142000000 has 896 divisors, whose sum is σ = 481943831040. Its totient is φ = 40320000000.

The previous prime is 142141999973. The next prime is 142142000029. The reversal of 142142000000 is 241241.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2001999965 + ... + 2002000035.

It is an arithmetic number, because the mean of its divisors is an integer number (537883740).

Almost surely, 2^142142000000 is an apocalyptic number.

142142000000 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 142142000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240971915520).

142142000000 is an abundant number, since it is smaller than the sum of its proper divisors (339801831040).

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

142142000000 is an frugal number, since it uses more digits than its factorization.

142142000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 142142000000 its reverse (241241), we get a palindrome (142142241241).

It can be divided in two parts, 142 and 142000000, that multiplied together give a square (20164000000 = 142000²).

The spelling of 142142000000 in words is "one hundred forty-two billion, one hundred forty-two million", and thus it is an aban number.