142771200 has 396 divisors, whose sum is σ = 557406288. Its totient is φ = 31948800.

The previous prime is 142771199. The next prime is 142771229. The reversal of 142771200 is 2177241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10982394 + ... + 10982406.

Almost surely, 2^142771200 is an apocalyptic number.

142771200 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 142771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278703144).

142771200 is an abundant number, since it is smaller than the sum of its proper divisors (414635088).

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

142771200 is a wasteful number, since it uses less digits than its factorization.

142771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 142771200 is about 11948.6903047991. The cubic root of 142771200 is about 522.6531071497.

It can be divided in two parts, 1427 and 71200, that added together give a palindrome (72627).

The spelling of 142771200 in words is "one hundred forty-two million, seven hundred seventy-one thousand, two hundred".