142938817200 has 180 divisors, whose sum is σ = 497337335040. Its totient is φ = 38017128960.

The previous prime is 142938817183. The next prime is 142938817207. The reversal of 142938817200 is 2718839241.

It is a happy number.

142938817200 is a `hidden beast` number, since 1 + 429 + 3 + 8 + 8 + 17 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (142938817207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326966 + ... + 1430634.

Almost surely, 2^142938817200 is an apocalyptic number.

142938817200 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 142938817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248668667520).

142938817200 is an abundant number, since it is smaller than the sum of its proper divisors (354398517840).

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

142938817200 is a wasteful number, since it uses less digits than its factorization.

142938817200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104076 (or 104062 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 142938817200 in words is "one hundred forty-two billion, nine hundred thirty-eight million, eight hundred seventeen thousand, two hundred".