142735068 has 144 divisors (see below), whose sum is σ = 447202560. Its totient is φ = 38561184.

The previous prime is 142735051. The next prime is 142735091. The reversal of 142735068 is 860537241.

142735068 is a `hidden beast` number, since 142 + 7 + 3 + 506 + 8 = 666.

142735068 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272655 + ... + 273177.

Almost surely, 2^142735068 is an apocalyptic number.

142735068 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 142735068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223601280).

142735068 is an abundant number, since it is smaller than the sum of its proper divisors (304467492).

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

142735068 is a wasteful number, since it uses less digits than its factorization.

142735068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 142735068 is about 11947.1782442550. The cubic root of 142735068 is about 522.6090130669.

The spelling of 142735068 in words is "one hundred forty-two million, seven hundred thirty-five thousand, sixty-eight".