142635135744 has 216 divisors, whose sum is σ = 415740516464. Its totient is φ = 47029248000.

The previous prime is 142635135739. The next prime is 142635135779. The reversal of 142635135744 is 447531536241.

142635135744 is a `hidden beast` number, since 1 + 4 + 2 + 63 + 5 + 13 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142635135744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87991254 + ... + 87992874.

Almost surely, 2^142635135744 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 142635135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207870258232).

142635135744 is an abundant number, since it is smaller than the sum of its proper divisors (273105380720).

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

142635135744 is a wasteful number, since it uses less digits than its factorization.

142635135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2018 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 142635135744 in words is "one hundred forty-two billion, six hundred thirty-five million, one hundred thirty-five thousand, seven hundred forty-four".