142788800 has 336 divisors, whose sum is σ = 468660480. Its totient is φ = 41472000.

The previous prime is 142788799. The next prime is 142788817. The reversal of 142788800 is 8887241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340770 + ... + 2340830.

Almost surely, 2^142788800 is an apocalyptic number.

142788800 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 142788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234330240).

142788800 is an abundant number, since it is smaller than the sum of its proper divisors (325871680).

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

142788800 is a wasteful number, since it uses less digits than its factorization.

142788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 142788800 is about 11949.4267644938. The cubic root of 142788800 is about 522.6745828085.

The spelling of 142788800 in words is "one hundred forty-two million, seven hundred eighty-eight thousand, eight hundred".