141297131601409 has 9 divisors (see below), whose sum is σ = 164366147839491. Its totient is φ = 121111755765840.

The previous prime is 141297131601361. The next prime is 141297131601481. The reversal of 141297131601409 is 904106131792141.

The square root of 141297131601409 is 11886847.

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

It can be written as a sum of positive squares in only one way, i.e., 7175717635009 + 134121413966400 = 2678753^2 + 11581080^2 .

It is not a de Polignac number, because 141297131601409 - 2¹³ = 141297131593217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141297131601209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82358869 + ... + 84056989.

It is an arithmetic number, because the mean of its divisors is an integer number (18262905315499).

Almost surely, 2^{141297131601409} is an apocalyptic number.

141297131601409 is the 11886847-th square number.

141297131601409 is the 5943424-th centered octagonal number.

It is an amenable number.

141297131601409 is a deficient number, since it is larger than the sum of its proper divisors (23069016238082).

141297131601409 is an frugal number, since it uses more digits than its factorization.

141297131601409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396256 (or 1698128 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

141297131601409 divided by its sum of digits (49) gives a square (2883614930641 = 1698121²).

The spelling of 141297131601409 in words is "one hundred forty-one trillion, two hundred ninety-seven billion, one hundred thirty-one million, six hundred one thousand, four hundred nine".