142248960000 has 1400 divisors, whose sum is σ = 619283953200. Its totient is φ = 32514048000.

The previous prime is 142248959959. The next prime is 142248960001. The reversal of 142248960000 is 69842241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142248960000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 48 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142248960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 20321279997 + ... + 20321280003.

Almost surely, 2^142248960000 is an apocalyptic number.

142248960000 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 142248960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309641976600).

142248960000 is an abundant number, since it is smaller than the sum of its proper divisors (477034993200).

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

142248960000 is an frugal number, since it uses more digits than its factorization.

142248960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142248960000 in words is "one hundred forty-two billion, two hundred forty-eight million, nine hundred sixty thousand".