135120937744 has 45 divisors (see below), whose sum is σ = 283524235263. Its totient is φ = 62354687616.

The previous prime is 135120937739. The next prime is 135120937747. The reversal of 135120937744 is 447739021531.

The square root of 135120937744 is 367588.

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 36092400400 + 99028537344 = 189980^2 + 314688^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135120937694 and 135120937703.

It is not an unprimeable number, because it can be changed into a prime (135120937747) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19111042 + ... + 19118110.

Almost surely, 2^135120937744 is an apocalyptic number.

135120937744 is the 367588-th square number.

It is an amenable number.

135120937744 is an abundant number, since it is smaller than the sum of its proper divisors (148403297519).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135120937744 is an frugal number, since it uses more digits than its factorization.

135120937744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 135120937744 in words is "one hundred thirty-five billion, one hundred twenty million, nine hundred thirty-seven thousand, seven hundred forty-four".