142851340800 has 840 divisors, whose sum is σ = 606729056736. Its totient is φ = 32651735040.

The previous prime is 142851340769. The next prime is 142851340831. The reversal of 142851340800 is 8043158241.

142851340800 is a `hidden beast` number, since 1 + 4 + 28 + 513 + 40 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142851340769) and next prime (142851340831).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8100 × 2268 × 7776.

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 83 ways as a sum of consecutive naturals, for example, 20407334397 + ... + 20407334403.

Almost surely, 2^142851340800 is an apocalyptic number.

142851340800 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 142851340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303364528368).

142851340800 is an abundant number, since it is smaller than the sum of its proper divisors (463877715936).

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

142851340800 is an frugal number, since it uses more digits than its factorization.

142851340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 142851340800 in words is "one hundred forty-two billion, eight hundred fifty-one million, three hundred forty thousand, eight hundred".