142231968 has 144 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 45112320.

The previous prime is 142231961. The next prime is 142231981. The reversal of 142231968 is 869132241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (142231961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794503 + ... + 794681.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^142231968 is an apocalyptic number.

142231968 is a gapful number since it is divisible by the number (18) 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 142231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

142231968 is an abundant number, since it is smaller than the sum of its proper divisors (282337632).

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

142231968 is a wasteful number, since it uses less digits than its factorization.

142231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 142231968 is about 11926.1044771543. The cubic root of 142231968 is about 521.9942748304.

The spelling of 142231968 in words is "one hundred forty-two million, two hundred thirty-one thousand, nine hundred sixty-eight".