141277400124289 has 81 divisors (see below), whose sum is σ = 172243080712521. Its totient is φ = 115737475613760.

The previous prime is 141277400124083. The next prime is 141277400124347. The reversal of 141277400124289 is 982421004772141.

The square root of 141277400124289 is 11886017.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5885558484289 + 135391841640000 = 2426017^2 + 11635800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-141277400124289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141277400127289) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73087117567 + ... + 73087119499.

Almost surely, 2^{141277400124289} is an apocalyptic number.

141277400124289 is the 11886017-th square number.

141277400124289 is the 5943009-th centered octagonal number.

It is an amenable number.

141277400124289 is a deficient number, since it is larger than the sum of its proper divisors (30965680588232).

141277400124289 is an frugal number, since it uses more digits than its factorization.

141277400124289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 141277400124289 in words is "one hundred forty-one trillion, two hundred seventy-seven billion, four hundred million, one hundred twenty-four thousand, two hundred eighty-nine".