142314432 has 224 divisors, whose sum is σ = 441057792. Its totient is φ = 40144896.

The previous prime is 142314407. The next prime is 142314437. The reversal of 142314432 is 234413241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142314437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2124063 + ... + 2124129.

It is an arithmetic number, because the mean of its divisors is an integer number (1969008).

Almost surely, 2^142314432 is an apocalyptic number.

142314432 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 142314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220528896).

142314432 is an abundant number, since it is smaller than the sum of its proper divisors (298743360).

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

142314432 is a wasteful number, since it uses less digits than its factorization.

142314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 142314432 is about 11929.5612660315. The cubic root of 142314432 is about 522.0951368707.

Adding to 142314432 its reverse (234413241), we get a palindrome (376727673).

The spelling of 142314432 in words is "one hundred forty-two million, three hundred fourteen thousand, four hundred thirty-two".