142208277120 has 768 divisors, whose sum is σ = 615908966400. Its totient is φ = 29432512512.

The previous prime is 142208277089. The next prime is 142208277131. The reversal of 142208277120 is 21772802241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27777921 + ... + 27783039.

It is an arithmetic number, because the mean of its divisors is an integer number (801964800).

Almost surely, 2^142208277120 is an apocalyptic number.

142208277120 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 142208277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307954483200).

142208277120 is an abundant number, since it is smaller than the sum of its proper divisors (473700689280).

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

142208277120 is a wasteful number, since it uses less digits than its factorization.

142208277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 142208277120 in words is "one hundred forty-two billion, two hundred eight million, two hundred seventy-seven thousand, one hundred twenty".