142053714302976 has 2688 divisors, whose sum is σ = 532390905446400. Its totient is φ = 36976275947520.

The previous prime is 142053714302911. The next prime is 142053714303023. The reversal of 142053714302976 is 679203417350241.

142053714302976 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 53 + 71 + 430 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1084379498431 + ... + 1084379498561.

It is an arithmetic number, because the mean of its divisors is an integer number (198062092800).

Almost surely, 2^{142053714302976} is an apocalyptic number.

142053714302976 is a gapful number since it is divisible by the number (16) 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 142053714302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266195452723200).

142053714302976 is an abundant number, since it is smaller than the sum of its proper divisors (390337191143424).

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

142053714302976 is a wasteful number, since it uses less digits than its factorization.

142053714302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 142053714302976 in words is "one hundred forty-two trillion, fifty-three billion, seven hundred fourteen million, three hundred two thousand, nine hundred seventy-six".