142019638200 has 1152 divisors, whose sum is σ = 581668128000. Its totient is φ = 31558118400.

The previous prime is 142019638183. The next prime is 142019638213. The reversal of 142019638200 is 2836910241.

142019638200 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 19 + 638 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 793405711 + ... + 793405889.

It is an arithmetic number, because the mean of its divisors is an integer number (504920250).

Almost surely, 2^142019638200 is an apocalyptic number.

142019638200 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 142019638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290834064000).

142019638200 is an abundant number, since it is smaller than the sum of its proper divisors (439648489800).

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

142019638200 is a wasteful number, since it uses less digits than its factorization.

142019638200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 142019638200 in words is "one hundred forty-two billion, nineteen million, six hundred thirty-eight thousand, two hundred".