200142452000000 has 252 divisors, whose sum is σ = 499802981893068. Its totient is φ = 79987968000000.

The previous prime is 200142451999999. The next prime is 200142452000017. The reversal of 200142452000000 is 254241002.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 107963404615936 + 92179047384064 = 10390544^2 + 9600992^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4771979030 + ... + 4772020970.

Almost surely, 2^{200142452000000} is an apocalyptic number.

200142452000000 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 200142452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249901490946534).

200142452000000 is an abundant number, since it is smaller than the sum of its proper divisors (299660529893068).

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

200142452000000 is an frugal number, since it uses more digits than its factorization.

200142452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43180 (or 43141 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 200142452000000 in words is "two hundred trillion, one hundred forty-two billion, four hundred fifty-two million", and thus it is an aban number.