151289103681 has 27 divisors (see below), whose sum is σ = 219757546281. Its totient is φ = 100295411904.

The previous prime is 151289103671. The next prime is 151289103709. The reversal of 151289103681 is 186301982151.

The square root of 151289103681 is 388959.

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

151289103681 is a `hidden beast` number, since 1 + 5 + 1 + 289 + 1 + 0 + 368 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 524639025 + 150764464656 = 22905^2 + 388284^2 .

It is not a de Polignac number, because 151289103681 - 2⁵ = 151289103649 is a prime.

It is a super-3 number, since 3×151289103681³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (151289103601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 369899805 + ... + 369900213.

Almost surely, 2^151289103681 is an apocalyptic number.

151289103681 is the 388959-th square number.

151289103681 is the 194480-th centered octagonal number.

It is an amenable number.

151289103681 is a deficient number, since it is larger than the sum of its proper divisors (68468442600).

151289103681 is an frugal number, since it uses more digits than its factorization.

151289103681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 151289103681 in words is "one hundred fifty-one billion, two hundred eighty-nine million, one hundred three thousand, six hundred eighty-one".