142188536913696 has 4608 divisors, whose sum is σ = 587021628211200. Its totient is φ = 31603654656000.

The previous prime is 142188536913671. The next prime is 142188536913743. The reversal of 142188536913696 is 696319635881241.

It is a happy number.

142188536913696 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 88 + 536 + 9 + 1 + 3 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1119594778785 + ... + 1119594778911.

It is an arithmetic number, because the mean of its divisors is an integer number (127391846400).

Almost surely, 2^{142188536913696} is an apocalyptic number.

142188536913696 is a gapful number since it is divisible by the number (16) 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 142188536913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293510814105600).

142188536913696 is an abundant number, since it is smaller than the sum of its proper divisors (444833091297504).

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

142188536913696 is a wasteful number, since it uses less digits than its factorization.

142188536913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 142188536913696 in words is "one hundred forty-two trillion, one hundred eighty-eight billion, five hundred thirty-six million, nine hundred thirteen thousand, six hundred ninety-six".