142052544000 has 960 divisors, whose sum is σ = 551191417920. Its totient is φ = 35035545600.

The previous prime is 142052543989. The next prime is 142052544001. The reversal of 142052544000 is 445250241.

142052544000 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 254 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142052544001) 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, 871487919 + ... + 871488081.

It is an arithmetic number, because the mean of its divisors is an integer number (574157727).

Almost surely, 2^142052544000 is an apocalyptic number.

142052544000 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 142052544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275595708960).

142052544000 is an abundant number, since it is smaller than the sum of its proper divisors (409138873920).

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

142052544000 is a wasteful number, since it uses less digits than its factorization.

142052544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 142052544000 its reverse (445250241), we get a palindrome (142497794241).

The spelling of 142052544000 in words is "one hundred forty-two billion, fifty-two million, five hundred forty-four thousand".