142246800 has 120 divisors (see below), whose sum is σ = 506331680. Its totient is φ = 37929600.

The previous prime is 142246781. The next prime is 142246801. The reversal of 142246800 is 8642241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×142246800² = 40468304220480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142246801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4215 + ... + 17385.

Almost surely, 2^142246800 is an apocalyptic number.

142246800 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 142246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253165840).

142246800 is an abundant number, since it is smaller than the sum of its proper divisors (364084880).

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

142246800 is a wasteful number, since it uses less digits than its factorization.

142246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13198 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142246800 is about 11926.7262901435. The cubic root of 142246800 is about 522.0124187824.

The spelling of 142246800 in words is "one hundred forty-two million, two hundred forty-six thousand, eight hundred".