142624768 has 96 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 59719680.

The previous prime is 142624763. The next prime is 142624777. The reversal of 142624768 is 867426241.

It is a happy number.

It is a super-3 number, since 3×142624768³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142624768.

It is not an unprimeable number, because it can be changed into a prime (142624763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292621 + ... + 293107.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^142624768 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 142624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

142624768 is an abundant number, since it is smaller than the sum of its proper divisors (193099712).

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

142624768 is a wasteful number, since it uses less digits than its factorization.

142624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 142624768 is about 11942.5611993408. The cubic root of 142624768 is about 522.4743612031.

The spelling of 142624768 in words is "one hundred forty-two million, six hundred twenty-four thousand, seven hundred sixty-eight".