123540299289 has 27 divisors (see below), whose sum is σ = 196162749237. Its totient is φ = 74865879000.

The previous prime is 123540299287. The next prime is 123540299297. The reversal of 123540299289 is 982992045321.

The square root of 123540299289 is 351483.

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

123540299289 is a `hidden beast` number, since 1 + 2 + 3 + 540 + 2 + 9 + 92 + 8 + 9 = 666.

It is not a de Polignac number, because 123540299289 - 2¹ = 123540299287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123540299287) 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 26 ways as a sum of consecutive naturals, for example, 11593614 + ... + 11604264.

Almost surely, 2^123540299289 is an apocalyptic number.

123540299289 is the 351483-rd square number.

123540299289 is the 175742-nd centered octagonal number.

It is an amenable number.

123540299289 is a deficient number, since it is larger than the sum of its proper divisors (72622449948).

123540299289 is an frugal number, since it uses more digits than its factorization.

123540299289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 123540299289 in words is "one hundred twenty-three billion, five hundred forty million, two hundred ninety-nine thousand, two hundred eighty-nine".