142963968 has 216 divisors, whose sum is σ = 461371680. Its totient is φ = 39137280.

The previous prime is 142963957. The next prime is 142963969. The reversal of 142963968 is 869369241.

It is a super-2 number, since 2×142963968² = 40877392292610048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142963969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091263 + ... + 1091393.

It is an arithmetic number, because the mean of its divisors is an integer number (2135980).

Almost surely, 2^142963968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230685840).

142963968 is an abundant number, since it is smaller than the sum of its proper divisors (318407712).

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

142963968 is a wasteful number, since it uses less digits than its factorization.

142963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 142963968 is about 11956.7540745806. The cubic root of 142963968 is about 522.8882280610. Note that the first 3 decimals are identical.

The spelling of 142963968 in words is "one hundred forty-two million, nine hundred sixty-three thousand, nine hundred sixty-eight".