142686144 has 112 divisors (see below), whose sum is σ = 425744640. Its totient is φ = 46851840.

The previous prime is 142686139. The next prime is 142686161. The reversal of 142686144 is 441686241.

It is a happy number.

142686144 is a `hidden beast` number, since 14 + 26 + 8 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142686099 and 142686108.

It is a congruent number.

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, 122107 + ... + 123269.

Almost surely, 2^142686144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212872320).

142686144 is an abundant number, since it is smaller than the sum of its proper divisors (283058496).

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

142686144 is a wasteful number, since it uses less digits than its factorization.

142686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 142686144 is about 11945.1305560048. The cubic root of 142686144 is about 522.5492962654.

The spelling of 142686144 in words is "one hundred forty-two million, six hundred eighty-six thousand, one hundred forty-four".