142530046200 has 288 divisors, whose sum is σ = 502688659200. Its totient is φ = 37525887360.

The previous prime is 142530046187. The next prime is 142530046223. The reversal of 142530046200 is 2640035241.

142530046200 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 30 + 0 + 4 + 620 + 0 = 666.

It is a super-3 number, since 3×142530046200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3820839 + ... + 3857961.

Almost surely, 2^142530046200 is an apocalyptic number.

142530046200 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 142530046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251344329600).

142530046200 is an abundant number, since it is smaller than the sum of its proper divisors (360158613000).

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

142530046200 is a wasteful number, since it uses less digits than its factorization.

142530046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37233 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 142530046200 in words is "one hundred forty-two billion, five hundred thirty million, forty-six thousand, two hundred".