142532265568000 has 864 divisors, whose sum is σ = 447919535831040. Its totient is φ = 44237749248000.

The previous prime is 142532265567983. The next prime is 142532265568009. The reversal of 142532265568000 is 865562235241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142532265568009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6477844999 + ... + 6477867001.

Almost surely, 2^{142532265568000} is an apocalyptic number.

142532265568000 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 142532265568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223959767915520).

142532265568000 is an abundant number, since it is smaller than the sum of its proper divisors (305387270263040).

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

142532265568000 is a wasteful number, since it uses less digits than its factorization.

142532265568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22302 (or 22267 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 142532265568000 in words is "one hundred forty-two trillion, five hundred thirty-two billion, two hundred sixty-five million, five hundred sixty-eight thousand".