142625600 has 84 divisors (see below), whose sum is σ = 377999244. Its totient is φ = 52654080.

The previous prime is 142625569. The next prime is 142625617. The reversal of 142625600 is 6526241.

It can be written as a sum of positive squares in 6 ways, for example, as 57395776 + 85229824 = 7576^2 + 9232^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 142625600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17372 + ... + 24228.

It is an arithmetic number, because the mean of its divisors is an integer number (4499991).

Almost surely, 2^142625600 is an apocalyptic number.

142625600 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 142625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188999622).

142625600 is an abundant number, since it is smaller than the sum of its proper divisors (235373644).

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

142625600 is a wasteful number, since it uses less digits than its factorization.

142625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 142625600 is about 11942.5960326890. The cubic root of 142625600 is about 522.4753771506.

The spelling of 142625600 in words is "one hundred forty-two million, six hundred twenty-five thousand, six hundred".