142006032 has 120 divisors (see below), whose sum is σ = 480969216. Its totient is φ = 38181888.

The previous prime is 142006003. The next prime is 142006079. The reversal of 142006032 is 230600241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142005996 and 142006014.

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 23 ways as a sum of consecutive naturals, for example, 12993 + ... + 21279.

Almost surely, 2^142006032 is an apocalyptic number.

142006032 is a gapful number since it is divisible by the number (12) 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 142006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240484608).

142006032 is an abundant number, since it is smaller than the sum of its proper divisors (338963184).

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

142006032 is a wasteful number, since it uses less digits than its factorization.

142006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142006032 is about 11916.6283822229. The cubic root of 142006032 is about 521.7177317456.

Adding to 142006032 its reverse (230600241), we get a palindrome (372606273).

The spelling of 142006032 in words is "one hundred forty-two million, six thousand, thirty-two".