142042032 has 160 divisors (see below), whose sum is σ = 452113920. Its totient is φ = 42336000.

The previous prime is 142042027. The next prime is 142042073. The reversal of 142042032 is 230240241.

142042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 142041996 and 142042014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337182 + ... + 337602.

It is an arithmetic number, because the mean of its divisors is an integer number (2825712).

Almost surely, 2^142042032 is an apocalyptic number.

142042032 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 142042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056960).

142042032 is an abundant number, since it is smaller than the sum of its proper divisors (310071888).

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

142042032 is a wasteful number, since it uses less digits than its factorization.

142042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142042032 is about 11918.1387808668. The cubic root of 142042032 is about 521.7618149702.

Adding to 142042032 its reverse (230240241), we get a palindrome (372282273).

The spelling of 142042032 in words is "one hundred forty-two million, forty-two thousand, thirty-two".