142564076054000 has 160 divisors (see below), whose sum is σ = 347776015017600. Its totient is φ = 56521758720000.

The previous prime is 142564076053981. The next prime is 142564076054033. The reversal of 142564076054000 is 450670465241.

It is a super-2 number, since 2×142564076054000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135072314 + ... + 136123686.

It is an arithmetic number, because the mean of its divisors is an integer number (2173600093860).

Almost surely, 2^{142564076054000} is an apocalyptic number.

142564076054000 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 142564076054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173888007508800).

142564076054000 is an abundant number, since it is smaller than the sum of its proper divisors (205211938963600).

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

142564076054000 is a wasteful number, since it uses less digits than its factorization.

142564076054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051996 (or 1051980 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 142564076054000 in words is "one hundred forty-two trillion, five hundred sixty-four billion, seventy-six million, fifty-four thousand".