142085980800 has 288 divisors, whose sum is σ = 507497964480. Its totient is φ = 37852047360.

The previous prime is 142085980793. The next prime is 142085980819. The reversal of 142085980800 is 8089580241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40980667 + ... + 40984133.

It is an arithmetic number, because the mean of its divisors is an integer number (1762145710).

Almost surely, 2^142085980800 is an apocalyptic number.

142085980800 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 142085980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253748982240).

142085980800 is an abundant number, since it is smaller than the sum of its proper divisors (365411983680).

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

142085980800 is a wasteful number, since it uses less digits than its factorization.

142085980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4920 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 142085980800 in words is "one hundred forty-two billion, eighty-five million, nine hundred eighty thousand, eight hundred".