132200142100000 has 288 divisors, whose sum is σ = 350653934993040. Its totient is φ = 48768583680000.

The previous prime is 132200142099973. The next prime is 132200142100069. The reversal of 132200142100000 is 1241002231.

It can be written as a sum of positive squares in 24 ways, for example, as 127438721343376 + 4761420756624 = 11288876^2 + 2182068^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467654964 + ... + 1467745036.

Almost surely, 2^{132200142100000} is an apocalyptic number.

132200142100000 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 132200142100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175326967496520).

132200142100000 is an abundant number, since it is smaller than the sum of its proper divisors (218453792893040).

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

132200142100000 is an equidigital number, since it uses as much as digits as its factorization.

132200142100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91250 (or 91222 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132200142100000 its reverse (1241002231), we get a palindrome (132201383102231).

The spelling of 132200142100000 in words is "one hundred thirty-two trillion, two hundred billion, one hundred forty-two million, one hundred thousand".