142167080160 has 288 divisors, whose sum is σ = 567976473792. Its totient is φ = 31702671360.

The previous prime is 142167080137. The next prime is 142167080179. The reversal of 142167080160 is 61080761241.

It is a happy number.

142167080160 is a `hidden beast` number, since 1 + 421 + 6 + 70 + 8 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×142167080160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241282 + ... + 585278.

It is an arithmetic number, because the mean of its divisors is an integer number (1972140534).

Almost surely, 2^142167080160 is an apocalyptic number.

142167080160 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 142167080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283988236896).

142167080160 is an abundant number, since it is smaller than the sum of its proper divisors (425809393632).

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

142167080160 is a wasteful number, since it uses less digits than its factorization.

142167080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344066 (or 344055 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142167080160 in words is "one hundred forty-two billion, one hundred sixty-seven million, eighty thousand, one hundred sixty".