142956271748160 has 672 divisors, whose sum is σ = 534677318727552. Its totient is φ = 34847677808640.

The previous prime is 142956271748117. The next prime is 142956271748221. The reversal of 142956271748160 is 61847172659241.

It is a happy number.

142956271748160 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 562 + 7 + 1 + 7 + 4 + 8 + 1 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15811993240 + ... + 15812002280.

It is an arithmetic number, because the mean of its divisors is an integer number (795650771916).

Almost surely, 2^{142956271748160} is an apocalyptic number.

142956271748160 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 142956271748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267338659363776).

142956271748160 is an abundant number, since it is smaller than the sum of its proper divisors (391721046979392).

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

142956271748160 is a wasteful number, since it uses less digits than its factorization.

142956271748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 142956271748160 in words is "one hundred forty-two trillion, nine hundred fifty-six billion, two hundred seventy-one million, seven hundred forty-eight thousand, one hundred sixty".