142968672000 has 1728 divisors, whose sum is σ = 671757166080. Its totient is φ = 29611008000.

The previous prime is 142968671987. The next prime is 142968672017. The reversal of 142968672000 is 276869241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 465695847 + ... + 465696153.

It is an arithmetic number, because the mean of its divisors is an integer number (388748360).

Almost surely, 2^142968672000 is an apocalyptic number.

142968672000 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 142968672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335878583040).

142968672000 is an abundant number, since it is smaller than the sum of its proper divisors (528788494080).

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

142968672000 is a wasteful number, since it uses less digits than its factorization.

142968672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 142968672000 in words is "one hundred forty-two billion, nine hundred sixty-eight million, six hundred seventy-two thousand".