142432452052200 has 288 divisors, whose sum is σ = 486506316792600. Its totient is φ = 37338133831680.

The previous prime is 142432452052171. The next prime is 142432452052229. The reversal of 142432452052200 is 2250254234241.

142432452052200 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 245 + 205 + 2 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (142432452052171) and next prime (142432452052229).

It can be written as a sum of positive squares in 12 ways, for example, as 34128426538116 + 108304025514084 = 5841954^2 + 10406922^2 .

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

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, 25144972 + ... + 30284228.

Almost surely, 2^{142432452052200} is an apocalyptic number.

142432452052200 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 142432452052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243253158396300).

142432452052200 is an abundant number, since it is smaller than the sum of its proper divisors (344073864740400).

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

142432452052200 is a wasteful number, since it uses less digits than its factorization.

142432452052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139541 (or 5139529 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 142432452052200 in words is "one hundred forty-two trillion, four hundred thirty-two billion, four hundred fifty-two million, fifty-two thousand, two hundred".