142381766135760 has 1280 divisors, whose sum is σ = 496100807516160. Its totient is φ = 33618163138560.

The previous prime is 142381766135683. The next prime is 142381766135863. The reversal of 142381766135760 is 67531667183241.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 142381766135694 and 142381766135703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 454893821364 + ... + 454893821676.

It is an arithmetic number, because the mean of its divisors is an integer number (387578755872).

Almost surely, 2^{142381766135760} is an apocalyptic number.

142381766135760 is a gapful number since it is divisible by the number (10) 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 142381766135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248050403758080).

142381766135760 is an abundant number, since it is smaller than the sum of its proper divisors (353719041380400).

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

142381766135760 is a wasteful number, since it uses less digits than its factorization.

142381766135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 142381766135760 in words is "one hundred forty-two trillion, three hundred eighty-one billion, seven hundred sixty-six million, one hundred thirty-five thousand, seven hundred sixty".