142806432 has 96 divisors (see below), whose sum is σ = 401587200. Its totient is φ = 44299008.

The previous prime is 142806427. The next prime is 142806437. The reversal of 142806432 is 234608241.

142806432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142806427) and next prime (142806437).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 142806432.

It is not an unprimeable number, because it can be changed into a prime (142806437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106953 + ... + 108279.

It is an arithmetic number, because the mean of its divisors is an integer number (4183200).

Almost surely, 2^142806432 is an apocalyptic number.

142806432 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 142806432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793600).

142806432 is an abundant number, since it is smaller than the sum of its proper divisors (258780768).

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

142806432 is a wasteful number, since it uses less digits than its factorization.

142806432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 142806432 is about 11950.1645176960. The cubic root of 142806432 is about 522.6960957445.

The spelling of 142806432 in words is "one hundred forty-two million, eight hundred six thousand, four hundred thirty-two".