142808800 has 72 divisors (see below), whose sum is σ = 351446256. Its totient is φ = 56663040.

The previous prime is 142808797. The next prime is 142808801. The reversal of 142808800 is 8808241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142808801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108949 + ... + 110251.

It is an arithmetic number, because the mean of its divisors is an integer number (4881198).

Almost surely, 2^142808800 is an apocalyptic number.

142808800 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 142808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175723128).

142808800 is an abundant number, since it is smaller than the sum of its proper divisors (208637456).

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

142808800 is a wasteful number, since it uses less digits than its factorization.

142808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 142808800 is about 11950.2635954191. The cubic root of 142808800 is about 522.6989848242.

The spelling of 142808800 in words is "one hundred forty-two million, eight hundred eight thousand, eight hundred".