142955130700800 has 2640 divisors, whose sum is σ = 592287859722240. Its totient is φ = 33777451008000.

The previous prime is 142955130700799. The next prime is 142955130700843. The reversal of 142955130700800 is 8007031559241.

142955130700800 is a `hidden beast` number, since 1 + 4 + 29 + 551 + 3 + 0 + 70 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176705970796 + ... + 176705971604.

It is an arithmetic number, because the mean of its divisors is an integer number (224351462016).

Almost surely, 2^{142955130700800} is an apocalyptic number.

142955130700800 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 142955130700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296143929861120).

142955130700800 is an abundant number, since it is smaller than the sum of its proper divisors (449332729021440).

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

142955130700800 is a wasteful number, since it uses less digits than its factorization.

142955130700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 142955130700800 in words is "one hundred forty-two trillion, nine hundred fifty-five billion, one hundred thirty million, seven hundred thousand, eight hundred".