141774840900 has 729 divisors, whose sum is σ = 571711964733. Its totient is φ = 29278972800.

The previous prime is 141774840887. The next prime is 141774840941. The reversal of 141774840900 is 9048477141.

It is a happy number.

The square root of 141774840900 is 376530.

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

141774840900 is a `hidden beast` number, since 1 + 417 + 74 + 84 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51038942724 + 90735898176 = 225918^2 + 301224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 869784219 + ... + 869784381.

Almost surely, 2^141774840900 is an apocalyptic number.

141774840900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141774840900 is the 376530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141774840900

141774840900 is an abundant number, since it is smaller than the sum of its proper divisors (429937123833).

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

141774840900 is a wasteful number, since it uses less digits than its factorization.

141774840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 141774840900 in words is "one hundred forty-one billion, seven hundred seventy-four million, eight hundred forty thousand, nine hundred".