142016709120 has 320 divisors, whose sum is σ = 533386111104. Its totient is φ = 31779717120.

The previous prime is 142016709119. The next prime is 142016709151. The reversal of 142016709120 is 21907610241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033584 + ... + 1162896.

Almost surely, 2^142016709120 is an apocalyptic number.

142016709120 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 142016709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266693055552).

142016709120 is an abundant number, since it is smaller than the sum of its proper divisors (391369401984).

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

142016709120 is a wasteful number, since it uses less digits than its factorization.

142016709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129363 (or 129347 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 142016709120 in words is "one hundred forty-two billion, sixteen million, seven hundred nine thousand, one hundred twenty".