150766449132601 has 9 divisors (see below), whose sum is σ = 150898720644399. Its totient is φ = 150634293495264.

The previous prime is 150766449132589. The next prime is 150766449132643. The reversal of 150766449132601 is 106231944667051.

The square root of 150766449132601 is 12278699.

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., 150301837855225 + 464611277376 = 12259765^2 + 681624^2 .

It is not a de Polignac number, because 150766449132601 - 2¹¹ = 150766449130553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150766449132661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15925467870 + ... + 15925477336.

Almost surely, 2^{150766449132601} is an apocalyptic number.

150766449132601 is the 12278699-th square number.

150766449132601 is the 6139350-th centered octagonal number.

It is an amenable number.

150766449132601 is a deficient number, since it is larger than the sum of its proper divisors (132271511798).

150766449132601 is an frugal number, since it uses more digits than its factorization.

150766449132601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 150766449132601 in words is "one hundred fifty trillion, seven hundred sixty-six billion, four hundred forty-nine million, one hundred thirty-two thousand, six hundred one".