142188160 has 128 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 53415936.

The previous prime is 142188157. The next prime is 142188173. The reversal of 142188160 is 61881241.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872239 + ... + 872401.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^142188160 is an apocalyptic number.

142188160 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 142188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

142188160 is an abundant number, since it is smaller than the sum of its proper divisors (219136640).

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

142188160 is a wasteful number, since it uses less digits than its factorization.

142188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 142188160 is about 11924.2676923994. The cubic root of 142188160 is about 521.9406772375.

The spelling of 142188160 in words is "one hundred forty-two million, one hundred eighty-eight thousand, one hundred sixty".