142162140960 has 480 divisors, whose sum is σ = 607122552960. Its totient is φ = 30582448128.

The previous prime is 142162140937. The next prime is 142162140971. The reversal of 142162140960 is 69041261241.

142162140960 is a `hidden beast` number, since 1 + 4 + 21 + 621 + 4 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1496151 + ... + 1588329.

It is an arithmetic number, because the mean of its divisors is an integer number (1264838652).

Almost surely, 2^142162140960 is an apocalyptic number.

142162140960 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 142162140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303561276480).

142162140960 is an abundant number, since it is smaller than the sum of its proper divisors (464960412000).

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

142162140960 is a wasteful number, since it uses less digits than its factorization.

142162140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92230 (or 92213 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 142162140960 in words is "one hundred forty-two billion, one hundred sixty-two million, one hundred forty thousand, nine hundred sixty".