202132142000 has 320 divisors, whose sum is σ = 550307706624. Its totient is φ = 71400243200.

The previous prime is 202132141997. The next prime is 202132142039. The reversal of 202132142000 is 241231202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 202132142000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41443562 + ... + 41448438.

Almost surely, 2^202132142000 is an apocalyptic number.

202132142000 is a gapful number since it is divisible by the number (20) 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 202132142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275153853312).

202132142000 is an abundant number, since it is smaller than the sum of its proper divisors (348175564624).

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

202132142000 is a wasteful number, since it uses less digits than its factorization.

202132142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202132142000 its reverse (241231202), we get a palindrome (202373373202).

The spelling of 202132142000 in words is "two hundred two billion, one hundred thirty-two million, one hundred forty-two thousand".