142028800 has 156 divisors (see below), whose sum is σ = 375803080. Its totient is φ = 53084160.

The previous prime is 142028791. The next prime is 142028833. The reversal of 142028800 is 8820241.

142028800 = T₁₉₃₆ + T₁₉₃₇ + ... + T₂₀₀₈.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1945564 + ... + 1945636.

Almost surely, 2^142028800 is an apocalyptic number.

142028800 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 142028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187901540).

142028800 is an abundant number, since it is smaller than the sum of its proper divisors (233774280).

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

142028800 is an equidigital number, since it uses as much as digits as its factorization.

142028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 142028800 is about 11917.5836477031. The cubic root of 142028800 is about 521.7456128019.

The spelling of 142028800 in words is "one hundred forty-two million, twenty-eight thousand, eight hundred".