151276657249 has 27 divisors (see below), whose sum is σ = 162855425593. Its totient is φ = 140492434688.

The previous prime is 151276657229. The next prime is 151276657303. The reversal of 151276657249 is 942756672151.

The square root of 151276657249 is 388943.

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 21157738849 + 130118918400 = 145457^2 + 360720^2 .

It is not a de Polignac number, because 151276657249 - 2⁷ = 151276657121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151276657249.

It is not an unprimeable number, because it can be changed into a prime (151276657229) 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, 905848164 + ... + 905848330.

Almost surely, 2^151276657249 is an apocalyptic number.

151276657249 is the 388943-rd square number.

151276657249 is the 194472-nd centered octagonal number.

It is an amenable number.

151276657249 is a deficient number, since it is larger than the sum of its proper divisors (11578768344).

151276657249 is an frugal number, since it uses more digits than its factorization.

151276657249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 55.

The spelling of 151276657249 in words is "one hundred fifty-one billion, two hundred seventy-six million, six hundred fifty-seven thousand, two hundred forty-nine".