137789993376001 has 8 divisors (see below), whose sum is σ = 138032719211880. Its totient is φ = 137547269520768.

The previous prime is 137789993375963. The next prime is 137789993376023. The reversal of 137789993376001 is 100673399987731.

It can be written as a sum of positive squares in 4 ways, for example, as 35902146585600 + 101887846790401 = 5991840^2 + 10093951^2 .

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 137789993376001 - 2³¹ = 137787845892353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137789993376041) 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, 251518555 + ... + 252065791.

It is an arithmetic number, because the mean of its divisors is an integer number (17254089901485).

Almost surely, 2^{137789993376001} is an apocalyptic number.

It is an amenable number.

137789993376001 is a deficient number, since it is larger than the sum of its proper divisors (242725835879).

137789993376001 is an equidigital number, since it uses as much as digits as its factorization.

137789993376001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990323.

The product of its (nonzero) digits is 324060912, while the sum is 73.

The spelling of 137789993376001 in words is "one hundred thirty-seven trillion, seven hundred eighty-nine billion, nine hundred ninety-three million, three hundred seventy-six thousand, one".