142382488091256 has 384 divisors, whose sum is σ = 457793812195200. Its totient is φ = 39115483545600.

The previous prime is 142382488091251. The next prime is 142382488091267. The reversal of 142382488091256 is 652190884283241.

142382488091256 is a `hidden beast` number, since 1 + 4 + 2 + 382 + 48 + 80 + 91 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 142382488091193 and 142382488091202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142382488091251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3616227186 + ... + 3616266558.

It is an arithmetic number, because the mean of its divisors is an integer number (1192171385925).

Almost surely, 2^{142382488091256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142382488091256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228896906097600).

142382488091256 is an abundant number, since it is smaller than the sum of its proper divisors (315411324103944).

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

142382488091256 is a wasteful number, since it uses less digits than its factorization.

142382488091256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40439 (or 40432 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 142382488091256 in words is "one hundred forty-two trillion, three hundred eighty-two billion, four hundred eighty-eight million, ninety-one thousand, two hundred fifty-six".