142075100160 has 1056 divisors, whose sum is σ = 586293552000. Its totient is φ = 31791513600.

The previous prime is 142075100159. The next prime is 142075100191. The reversal of 142075100160 is 61001570241.

It is a happy number.

142075100160 is a `hidden beast` number, since 1 + 420 + 75 + 10 + 0 + 160 = 666.

It is a congruent number.

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, 1406684110 + ... + 1406684210.

Almost surely, 2^142075100160 is an apocalyptic number.

142075100160 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 142075100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293146776000).

142075100160 is an abundant number, since it is smaller than the sum of its proper divisors (444218451840).

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

142075100160 is a wasteful number, since it uses less digits than its factorization.

142075100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 142075100160 in words is "one hundred forty-two billion, seventy-five million, one hundred thousand, one hundred sixty".