133961124049 has 27 divisors (see below), whose sum is σ = 140309822289. Its totient is φ = 127897486080.

The previous prime is 133961124029. The next prime is 133961124067. The reversal of 133961124049 is 940421169331.

The square root of 133961124049 is 366007.

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 117823995025 + 16137129024 = 343255^2 + 127032^2 .

It is not a de Polignac number, because 133961124049 - 2¹³ = 133961115857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133961123996 and 133961124014.

It is not an unprimeable number, because it can be changed into a prime (133961124029) 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 26 ways as a sum of consecutive naturals, for example, 1185496617 + ... + 1185496729.

Almost surely, 2^133961124049 is an apocalyptic number.

133961124049 is the 366007-th square number.

133961124049 is the 183004-th centered octagonal number.

It is an amenable number.

133961124049 is a deficient number, since it is larger than the sum of its proper divisors (6348698240).

133961124049 is an frugal number, since it uses more digits than its factorization.

133961124049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 133961124049 in words is "one hundred thirty-three billion, nine hundred sixty-one million, one hundred twenty-four thousand, forty-nine".