142432000 has 72 divisors (see below), whose sum is σ = 354895632. Its totient is φ = 56960000.

The previous prime is 142431997. The next prime is 142432007. The reversal of 142432000 is 234241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142432007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29775 + ... + 34225.

It is an arithmetic number, because the mean of its divisors is an integer number (4929106).

Almost surely, 2^142432000 is an apocalyptic number.

142432000 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 142432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177447816).

142432000 is an abundant number, since it is smaller than the sum of its proper divisors (212463632).

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

142432000 is an frugal number, since it uses more digits than its factorization.

142432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 142432000 is about 11934.4878398698. The cubic root of 142432000 is about 522.2388674003.

Adding to 142432000 its reverse (234241), we get a palindrome (142666241).

The spelling of 142432000 in words is "one hundred forty-two million, four hundred thirty-two thousand".