142136636544 has 256 divisors, whose sum is σ = 479865120000. Its totient is φ = 40573550592.

The previous prime is 142136636527. The next prime is 142136636561. The reversal of 142136636544 is 445636631241.

142136636544 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 6 + 636 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (142136636527) and next prime (142136636561).

It is a self number, because there is not a number n which added to its sum of digits gives 142136636544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37471512 + ... + 37475304.

It is an arithmetic number, because the mean of its divisors is an integer number (1874473125).

Almost surely, 2^142136636544 is an apocalyptic number.

142136636544 is a gapful number since it is divisible by the number (14) 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 142136636544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239932560000).

142136636544 is an abundant number, since it is smaller than the sum of its proper divisors (337728483456).

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

142136636544 is a wasteful number, since it uses less digits than its factorization.

142136636544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5354 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 142136636544 in words is "one hundred forty-two billion, one hundred thirty-six million, six hundred thirty-six thousand, five hundred forty-four".