137509676001 has 10 divisors (see below), whose sum is σ = 205415688962. Its totient is φ = 91673117280.

The previous prime is 137509675987. The next prime is 137509676021. The reversal of 137509676001 is 100676905731.

137509676001 is a `hidden beast` number, since 1 + 37 + 5 + 0 + 9 + 6 + 7 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88551475776 + 48958200225 = 297576^2 + 221265^2 .

It is not a de Polignac number, because 137509676001 - 2¹¹ = 137509673953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137509676021) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 848825080 + ... + 848825241.

Almost surely, 2^137509676001 is an apocalyptic number.

It is an amenable number.

137509676001 is a deficient number, since it is larger than the sum of its proper divisors (67906012961).

137509676001 is an equidigital number, since it uses as much as digits as its factorization.

137509676001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697650333 (or 1697650324 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 137509676001 in words is "one hundred thirty-seven billion, five hundred nine million, six hundred seventy-six thousand, one".