142166505600 has 288 divisors, whose sum is σ = 579752447040. Its totient is φ = 32495155200.

The previous prime is 142166505527. The next prime is 142166505619. The reversal of 142166505600 is 6505661241.

142166505600 is a `hidden beast` number, since 1 + 42 + 1 + 6 + 6 + 5 + 0 + 5 + 600 = 666.

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

It is a super-2 number, since 2×142166505600² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150996 + ... + 554195.

It is an arithmetic number, because the mean of its divisors is an integer number (2013029330).

Almost surely, 2^142166505600 is an apocalyptic number.

142166505600 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 142166505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289876223520).

142166505600 is an abundant number, since it is smaller than the sum of its proper divisors (437585941440).

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

142166505600 is a wasteful number, since it uses less digits than its factorization.

142166505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705228 (or 705208 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 142166505600 in words is "one hundred forty-two billion, one hundred sixty-six million, five hundred five thousand, six hundred".