142204032 has 128 divisors (see below), whose sum is σ = 438192000. Its totient is φ = 45315072.

The previous prime is 142204021. The next prime is 142204043. The reversal of 142204032 is 230402241.

It is an interprime number because it is at equal distance from previous prime (142204021) and next prime (142204043).

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

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 = 142203996 and 142204014.

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, 78594 + ... + 80382.

It is an arithmetic number, because the mean of its divisors is an integer number (3423375).

Almost surely, 2^142204032 is an apocalyptic number.

142204032 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 142204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219096000).

142204032 is an abundant number, since it is smaller than the sum of its proper divisors (295987968).

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

142204032 is a wasteful number, since it uses less digits than its factorization.

142204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1817 counting only the distinct ones).

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

The square root of 142204032 is about 11924.9332073601. The cubic root of 142204032 is about 521.9600973594.

Adding to 142204032 its reverse (230402241), we get a palindrome (372606273).

The spelling of 142204032 in words is "one hundred forty-two million, two hundred four thousand, thirty-two".