137007070641 has 24 divisors (see below), whose sum is σ = 226661058624. Its totient is φ = 78119912160.

The previous prime is 137007070597. The next prime is 137007070687. The reversal of 137007070641 is 146070700731.

137007070641 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 0 + 7 + 0 + 7 + 0 + 641 = 666.

It is not a de Polignac number, because 137007070641 - 2¹³ = 137007062449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137007070596 and 137007070605.

It is not an unprimeable number, because it can be changed into a prime (137007070441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329651 + ... + 2387736.

It is an arithmetic number, because the mean of its divisors is an integer number (9444210776).

Almost surely, 2^137007070641 is an apocalyptic number.

It is an amenable number.

137007070641 is a deficient number, since it is larger than the sum of its proper divisors (89653987983).

137007070641 is a wasteful number, since it uses less digits than its factorization.

137007070641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717861 (or 4717858 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 137007070641 in words is "one hundred thirty-seven billion, seven million, seventy thousand, six hundred forty-one".