142876800 has 432 divisors, whose sum is σ = 574045290. Its totient is φ = 33792000.

The previous prime is 142876787. The next prime is 142876807. The reversal of 142876800 is 8678241.

It can be written as a sum of positive squares in 3 ways, for example, as 66977856 + 75898944 = 8184^2 + 8712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142876807) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 3484780 + ... + 3484820.

Almost surely, 2^142876800 is an apocalyptic number.

142876800 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 142876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287022645).

142876800 is an abundant number, since it is smaller than the sum of its proper divisors (431168490).

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

142876800 is a wasteful number, since it uses less digits than its factorization.

142876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 142876800 is about 11953.1083823414. The cubic root of 142876800 is about 522.7819346401.

The spelling of 142876800 in words is "one hundred forty-two million, eight hundred seventy-six thousand, eight hundred".