142602768 has 200 divisors, whose sum is σ = 514937280. Its totient is φ = 37013760.

The previous prime is 142602763. The next prime is 142602769. The reversal of 142602768 is 867206241.

142602768 is a `hidden beast` number, since 1 + 42 + 602 + 7 + 6 + 8 = 666.

142602768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (142602763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99078 + ... + 100506.

Almost surely, 2^142602768 is an apocalyptic number.

142602768 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 142602768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257468640).

142602768 is an abundant number, since it is smaller than the sum of its proper divisors (372334512).

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

142602768 is a wasteful number, since it uses less digits than its factorization.

142602768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 142602768 is about 11941.6400883631. The cubic root of 142602768 is about 522.4474957735.

The spelling of 142602768 in words is "one hundred forty-two million, six hundred two thousand, seven hundred sixty-eight".