142968096 has 72 divisors (see below), whose sum is σ = 430495884. Its totient is φ = 44851200.

The previous prime is 142968047. The next prime is 142968097. The reversal of 142968096 is 690869241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142563600 + 404496 = 11940^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142968097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9705 + ... + 19496.

Almost surely, 2^142968096 is an apocalyptic number.

142968096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142968096 is an abundant number, since it is smaller than the sum of its proper divisors (287527788).

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

142968096 is a wasteful number, since it uses less digits than its factorization.

142968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234 (or 29223 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 142968096 is about 11956.9266954347. The cubic root of 142968096 is about 522.8932607087.

The spelling of 142968096 in words is "one hundred forty-two million, nine hundred sixty-eight thousand, ninety-six".