142061569938288 has 1200 divisors, whose sum is σ = 570095149003776. Its totient is φ = 33140010608640.

The previous prime is 142061569938283. The next prime is 142061569938317. The reversal of 142061569938288 is 882839965160241.

142061569938288 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 1 + 569 + 9 + 38 + 28 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142061569938283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 623885545 + ... + 624113207.

Almost surely, 2^{142061569938288} is an apocalyptic number.

142061569938288 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 142061569938288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285047574501888).

142061569938288 is an abundant number, since it is smaller than the sum of its proper divisors (428033579065488).

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

142061569938288 is a wasteful number, since it uses less digits than its factorization.

142061569938288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227764 (or 227736 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 142061569938288 in words is "one hundred forty-two trillion, sixty-one billion, five hundred sixty-nine million, nine hundred thirty-eight thousand, two hundred eighty-eight".