142378142117760 has 896 divisors, whose sum is σ = 540464435112960. Its totient is φ = 35774521896960.

The previous prime is 142378142117759. The next prime is 142378142117773. The reversal of 142378142117760 is 67711241873241.

142378142117760 is a `hidden beast` number, since 1 + 4 + 2 + 378 + 1 + 42 + 1 + 177 + 60 = 666.

It is a super-3 number, since 3×142378142117760³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142378142117697 and 142378142117706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 718869945 + ... + 719067975.

Almost surely, 2^{142378142117760} is an apocalyptic number.

142378142117760 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 142378142117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270232217556480).

142378142117760 is an abundant number, since it is smaller than the sum of its proper divisors (398086292995200).

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

142378142117760 is an equidigital number, since it uses as much as digits as its factorization.

142378142117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198158 (or 198131 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 142378142117760 in words is "one hundred forty-two trillion, three hundred seventy-eight billion, one hundred forty-two million, one hundred seventeen thousand, seven hundred sixty".