142725284100 has 405 divisors, whose sum is σ = 523932783647. Its totient is φ = 32495984640.

The previous prime is 142725284089. The next prime is 142725284101. The reversal of 142725284100 is 1482527241.

The square root of 142725284100 is 377790.

It is a perfect power (a square), and thus also a powerful number.

142725284100 is a `hidden beast` number, since 1 + 4 + 27 + 2 + 528 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35073049284 + 107652234816 = 187278^2 + 328104^2 .

It is a super-3 number, since 3×142725284100³ (a number of 34 digits) contains 333 as substring.

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 (142725284101) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 555351172 + ... + 555351428.

Almost surely, 2^142725284100 is an apocalyptic number.

142725284100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142725284100 is the 377790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142725284100

142725284100 is an abundant number, since it is smaller than the sum of its proper divisors (381207499547).

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

142725284100 is an equidigital number, since it uses as much as digits as its factorization.

142725284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 142725284100 by its sum of digits (36), we get a square (5138110227600 = 2266740²).

142725284100 divided by its sum of digits (36) gives a square (3964591225 = 62965²).

The spelling of 142725284100 in words is "one hundred forty-two billion, seven hundred twenty-five million, two hundred eighty-four thousand, one hundred".