151334226289 has 7 divisors (see below), whose sum is σ = 153436090543. Its totient is φ = 149261154696.

The previous prime is 151334226229. The next prime is 151334226341. The reversal of 151334226289 is 982622433151.

The square root of 151334226289 is 389017.

The cubic root of 151334226289 is 5329.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 45704026225 + 105630200064 = 213785^2 + 325008^2 .

It is a de Polignac number, because none of the positive numbers 2^k-151334226289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151334226229) 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 6 ways as a sum of consecutive naturals, for example, 2073071557 + ... + 2073071629.

Almost surely, 2^151334226289 is an apocalyptic number.

151334226289 is the 389017-th square number.

151334226289 is the 194509-th centered octagonal number.

It is an amenable number.

151334226289 is a deficient number, since it is larger than the sum of its proper divisors (2101864254).

151334226289 is an frugal number, since it uses more digits than its factorization.

151334226289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 73 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 151334226289 in words is "one hundred fifty-one billion, three hundred thirty-four million, two hundred twenty-six thousand, two hundred eighty-nine".