142264703283120 has 960 divisors, whose sum is σ = 543696441200640. Its totient is φ = 34285497523200.

The previous prime is 142264703283097. The next prime is 142264703283121. The reversal of 142264703283120 is 21382307462241.

142264703283120 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 6 + 4 + 7 + 0 + 328 + 312 + 0 = 666.

It is a super-3 number, since 3×142264703283120³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142264703283121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65288986191 + ... + 65288988369.

It is an arithmetic number, because the mean of its divisors is an integer number (566350459584).

Almost surely, 2^{142264703283120} is an apocalyptic number.

142264703283120 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 142264703283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271848220600320).

142264703283120 is an abundant number, since it is smaller than the sum of its proper divisors (401431737917520).

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

142264703283120 is a wasteful number, since it uses less digits than its factorization.

142264703283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142264703283120 in words is "one hundred forty-two trillion, two hundred sixty-four billion, seven hundred three million, two hundred eighty-three thousand, one hundred twenty".