137138123081 has 8 divisors (see below), whose sum is σ = 137666726280. Its totient is φ = 136609659648.

The previous prime is 137138123077. The next prime is 137138123119. The reversal of 137138123081 is 180321831731.

It can be written as a sum of positive squares in 4 ways, for example, as 15133920400 + 122004202681 = 123020^2 + 349291^2 .

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 137138123081 - 2² = 137138123077 is a prime.

It is a super-2 number, since 2×137138123081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137138183081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2206625 + ... + 2267921.

It is an arithmetic number, because the mean of its divisors is an integer number (17208340785).

Almost surely, 2^137138123081 is an apocalyptic number.

It is an amenable number.

137138123081 is a deficient number, since it is larger than the sum of its proper divisors (528603199).

137138123081 is an equidigital number, since it uses as much as digits as its factorization.

137138123081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69883.

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 137138123081 in words is "one hundred thirty-seven billion, one hundred thirty-eight million, one hundred twenty-three thousand, eighty-one".