137705500011 has 8 divisors (see below), whose sum is σ = 183610543680. Its totient is φ = 91802061512.

The previous prime is 137705499961. The next prime is 137705500021. The reversal of 137705500011 is 110005507731.

137705500011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137705500011 - 2⁹ = 137705499499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137705500021) 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 7 ways as a sum of consecutive naturals, for example, 184365 + ... + 556238.

It is an arithmetic number, because the mean of its divisors is an integer number (22951317960).

Almost surely, 2^137705500011 is an apocalyptic number.

137705500011 is a deficient number, since it is larger than the sum of its proper divisors (45905043669).

137705500011 is an equidigital number, since it uses as much as digits as its factorization.

137705500011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802585.

The product of its (nonzero) digits is 3675, while the sum is 30.

The spelling of 137705500011 in words is "one hundred thirty-seven billion, seven hundred five million, five hundred thousand, eleven".