142005600 has 324 divisors, whose sum is σ = 553784868. Its totient is φ = 34214400.

The previous prime is 142005599. The next prime is 142005623. The reversal of 142005600 is 6500241.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 871119 + ... + 871281.

Almost surely, 2^142005600 is an apocalyptic number.

142005600 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 142005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276892434).

142005600 is an abundant number, since it is smaller than the sum of its proper divisors (411779268).

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

142005600 is a wasteful number, since it uses less digits than its factorization.

142005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142005600 is about 11916.6102562767. The cubic root of 142005600 is about 521.7172027016.

Adding to 142005600 its reverse (6500241), we get a palindrome (148505841).

The spelling of 142005600 in words is "one hundred forty-two million, five thousand, six hundred".