142102800 has 180 divisors, whose sum is σ = 563684160. Its totient is φ = 32474880.

The previous prime is 142102781. The next prime is 142102801. The reversal of 142102800 is 8201241.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142102801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22381 + ... + 28019.

Almost surely, 2^142102800 is an apocalyptic number.

142102800 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 142102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281842080).

142102800 is an abundant number, since it is smaller than the sum of its proper divisors (421581360).

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

142102800 is a wasteful number, since it uses less digits than its factorization.

142102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 142102800 is about 11920.6878996138. The cubic root of 142102800 is about 521.8362105583.

The spelling of 142102800 in words is "one hundred forty-two million, one hundred two thousand, eight hundred".